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Third proportion of 9 and 12​

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in most proportion mean proportion are same so, the last terms CALLED third proportion.

LET, the third proportion be x.

9 : 12 :: 12 : x

⇒ \frac{9}{<klux>12</klux>} = \frac{12}{x}

⇒ \frac{\cancel{9}}{\cancel{12}} = \frac{12}{x}

⇒ \frac{3}{4} = \frac{12}{x}

⇒  3x = 48

⇒  x = \frac{48}{3}

⇒  x = \frac{\cancel{48}}{\cancel{3}}

⇒  x = 16

{\green{\boxed{\boxed{\bf{\bigstar\:\: Answer : 16 \:\:\bigstar}}}}}\\



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