Finding the Third Proportional to 31,724 and 47,504
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Solution
The third proportional to 31,724 and 47,504 is: 71,133.21
Step by Step Solution
- Step 1: Write the proportion equation
31,724 : 47,504 = 47,504 : x - Step 2: Convert to fraction form
31,724/47,504 = 47,504/x - Step 3: Cross multiply
31,724x = 47,504 × 47,504 - Step 4: Simplify right side
31,724x = 2,256,630,016 - Step 5: Solve for x
x = 2,256,630,016/31,724 - Step 6: Final answer
x = 71,133.21
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.