Finding the Third Proportional to 31,036 and 47,472
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Solution
The third proportional to 31,036 and 47,472 is: 72,612.15
Step by Step Solution
- Step 1: Write the proportion equation
31,036 : 47,472 = 47,472 : x - Step 2: Convert to fraction form
31,036/47,472 = 47,472/x - Step 3: Cross multiply
31,036x = 47,472 × 47,472 - Step 4: Simplify right side
31,036x = 2,253,590,784 - Step 5: Solve for x
x = 2,253,590,784/31,036 - Step 6: Final answer
x = 72,612.15
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Why These Related Problems?
These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.