if the third proportional to 7 and x is 28 . find the value of x
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Here it is given that the third proportional to 7 and x is 28
So by the given condition
7 : x = x : 28
\displaystyle \sf{ \implies \: \frac{7}{x} = \frac{x}{28} }
\displaystyle \sf{ \implies \: {x}^{2} = 7 \times 28}
\displaystyle \sf{ \implies \: {x}^{2} = 7 \times 7 \times 4}
\displaystyle \sf{ \implies \: x = \pm \: ( 7 \times 2)}
\displaystyle \sf{ \implies \: x = \pm \: 14}
FINAL ANSWER
So the required value
\boxed{ \sf{ \: \: x = \pm \: 14} \: \: }
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