Find the third proportion for 11/2 and 33/2

Let the third proportional be = $x$

then we can written as

$\frac{11}{2}: \frac{33}{2}:: \frac{33}{2}: x \\ \frac{11}{2} \times x = \frac{33}{2}\times \frac{33}{2} \\ x = \frac{33}{2} \times \frac{33}{2} \times \frac{2}{11}\\ x = \frac{99}{2}$

Hence, third proportional numbers

$= \frac{99}{2}$

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