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Question

Fill in the following blanks.
$$\dfrac{15}{18} = \dfrac{\Box}{6} = \dfrac{10}{\Box} = \dfrac{\Box}{30}$$
[Are this equivalent ratio?]

Solution
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$$\dfrac{15}{18}=\dfrac{5\times 3}{6\times 3}=\dfrac{5}{6}$$
$$\dfrac{5}{6}=\dfrac{5}{6}\times \dfrac{2}{2}=\dfrac{10}{12}$$
$$\dfrac{5}{6}=\dfrac{5}{6}\times \dfrac{5}{5}=\dfrac{25}{30}$$.
Therefore, $$5, 12, 25$$ will come in the blanks respectively. Yes, all these are equivalent ratios.

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