Find the

$(i i)$ Triplicate ratio of $2 a : 3 b$

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Solution

Step: Find the triplicate ratio

Triplicate ratio is the cube of given ratio

$∴$ Triplicate ratio $= (2 a)^{3} : (3 b)^{3}$

$= 8 a^{3} : 27 b^{3}$

Hence, the Triplicate ratio of $2 a : 3 b is 8 a^{3} : 27 b^{3}$ .

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(i) 64 : 27 (ii) $x^{3} : 125 y^{3}$

a b^{\frac{2}{3}} : a^{\frac{2}{3}} b

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x^{3} : 125 y^{3}

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\frac{m}{2} : \frac{n}{3}

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2 a : 3 b, m n : x^{2} and x : n

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