Murphy Pope
05/11/2023 · Middle School
Fill in the blank so that the ratios are equivalent. \( 3: 9 \) and 6 :
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Step-by-step Solution
To find the missing number in the ratio \( 6 : x \) that is equivalent to the ratio \( 3 : 9 \), we can set up a proportion:
\[
\frac{3}{9} = \frac{6}{x}
\]
Now, we can simplify the left side:
\[
\frac{3}{9} = \frac{1}{3}
\]
So we have:
\[
\frac{1}{3} = \frac{6}{x}
\]
Next, we can cross-multiply to solve for \( x \):
\[
1 \cdot x = 3 \cdot 6
\]
This simplifies to:
\[
x = 18
\]
Thus, the missing number is \( 18 \). Therefore, the equivalent ratio is:
\[
6 : 18
\]
Quick Answer
The missing number is 18. The equivalent ratio is 6:18.
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