SOLUTION: How do you know that if you start with two equal ratios that you will always end up with two equal products after cross multiplying? I know how to work the problems, but cannot

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Question 32766This question is from textbook Foundations for Algebra
: How do you know that if you start with two equal ratios that you will always end up with two equal products after cross multiplying?
I know how to work the problems, but cannot put it into words. Not sure what they are looking for. This question is from textbook Foundations for Algebra

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Say you have 2/3 = 4/6
Multiply both sides by "6" and multiply both sides by "3".
This will get rid of both of the denominators.
It will result in 6(2)=(3)(4) which is the "cross-product".
Cheers,
Stan H.