Question 1104314
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From the condition, you have this PROPORTION

{{{(x+2)/6}}} = {{{6/(x-3)}}}.


It follows directly from the DEFINITION of a geometric progression.


Cross multiply the equation


(x+2)*(x-3) = 36.


Now solve the quadratic equation.


<U>Answer</U>.  x= 7   OR   x= -6.
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