Finding the Third Proportional to 31,598 and 47,476
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Solution
The third proportional to 31,598 and 47,476 is: 71,332.70
Step by Step Solution
- Step 1: Write the proportion equation
31,598 : 47,476 = 47,476 : x - Step 2: Convert to fraction form
31,598/47,476 = 47,476/x - Step 3: Cross multiply
31,598x = 47,476 × 47,476 - Step 4: Simplify right side
31,598x = 2,253,970,576 - Step 5: Solve for x
x = 2,253,970,576/31,598 - Step 6: Final answer
x = 71,332.70
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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.