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# proportion

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If p is inversely proportional to the square of q, and p is 19 when q is 8, determine p when q is equal to 3

Feb 24, 2021

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$19:8^2=64$

$p:3^2=9$

We are multiplying by $\frac{9}{64}$, and the inverse is $\frac{64}{9}$.

So $p=\boxed{\frac{1216}{9}}$.

Feb 24, 2021