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Let x and y be the two numbers.

37 \frac{1}{2} =  \frac{75}{2}

 \frac{3}{8} xy =  \frac{75}{2}

(2)(8)[ \frac{3}{8} xy= \frac{75}{2} ](2)(8)

6xy = 600

6xy = 600
 6        6

xy = 100 ⇒ the product of two numbers, x and y.

Square root of the product of the two numbers, x and y

 \sqrt{100} =10

10 is the square root of the product of two numbers.

To check:
 \frac{3}{8} (100) =  \frac{75}{2}

 \frac{300}{8} = \frac{75}{2}

 \frac{75}{2} = \frac{75}{2}

 \frac{75}{2} =37 \frac{1}{2}