document.write( "Question 887955: solve the extended proportion x/9= 4/y= y/36 for x and y with x>0 and y>0 \n" ); document.write( "
Algebra.Com's Answer #536966 by josgarithmetic(39620)\"\" \"About 
You can put this solution on YOUR website!
\"x%2F9=+4%2Fy=+y%2F36\"\r
\n" ); document.write( "\n" ); document.write( "\"36y%28x%2F9=+4%2Fy=+y%2F36%29\"\r
\n" ); document.write( "\n" ); document.write( "\"4xy=4%2A36=y%5E2\"\r
\n" ); document.write( "\n" ); document.write( "\"4xy=highlight_green%283%29%2A36\" and \"4%2A36=y%5E2\"\r
\n" ); document.write( "\n" ); document.write( "The first one is \"xy=27\" and the second one is \"highlight%28y=12%29\"; so the first one is x=27/y=27/12, \"highlight%28x=9%2F4%29\". Seems strange.\r
\n" ); document.write( "\n" ); document.write( "Maybe a mistake, maybe not. (I found the mistake, outlined in \"highlight_green%28green%29\").\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Try differently. Split the three members from the original equation.\r
\n" ); document.write( "\n" ); document.write( "\"x%2F9=4%2Fy\"
\n" ); document.write( "\"xy=36\"
\n" ); document.write( "-
\n" ); document.write( "\"4%2Fy=y%2F36\"
\n" ); document.write( "\"y%5E2=4%2A36\"
\n" ); document.write( "\"y=2%2A6\"
\n" ); document.write( "\"highlight%28y=12%29\"
\n" ); document.write( "-
\n" ); document.write( "Now back to the first equation again.
\n" ); document.write( "\"xy=36\"
\n" ); document.write( "\"x=36%2Fy\"
\n" ); document.write( "\"x=36%2F12\"
\n" ); document.write( "\"highlight%28x=3%29\"
\n" ); document.write( "-
\n" ); document.write( "This second solution seems better. You can search for any mistake I must have made in the first method.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "CHECK THIS LAST SET OF RESULTS:
\n" ); document.write( "\"3%2F9=4%2F12=12%2F36\"
\n" ); document.write( "\"1%2F3=1%2F3=1%2F3\"---Yes, looks good.
\n" ); document.write( "-
\n" ); document.write( "x=3, y=12
\n" ); document.write( "
\n" );