Finding the Third Proportional to 31,460 and 47,593
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Solution
The third proportional to 31,460 and 47,593 is: 71,999.16
Step by Step Solution
- Step 1: Write the proportion equation
31,460 : 47,593 = 47,593 : x - Step 2: Convert to fraction form
31,460/47,593 = 47,593/x - Step 3: Cross multiply
31,460x = 47,593 × 47,593 - Step 4: Simplify right side
31,460x = 2,265,093,649 - Step 5: Solve for x
x = 2,265,093,649/31,460 - Step 6: Final answer
x = 71,999.16
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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.