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You appear to be referring to the fact that if a/b = c/d then ad = bc.

You know this is true because of the axioms of equality (If you do the same thing to both sides of an equation, then equality is maintained).

a/b = c/d

multiply by d

ad/b = c

multiply by b

ad = bc

If you wish to prove a specific proportion is true, you can test it with the equation ad = bc

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Q: How do you tell a proportion is true?
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