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Finding the Third Proportional to 41,571 and 54,909

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Solution

The third proportional to 41,571 and 54,909 is: 72,526.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,571 : 54,909 = 54,909 : x
  2. Step 2: Convert to fraction form
    41,571/54,909 = 54,909/x
  3. Step 3: Cross multiply
    41,571x = 54,909 × 54,909
  4. Step 4: Simplify right side
    41,571x = 3,014,998,281
  5. Step 5: Solve for x
    x = 3,014,998,281/41,571
  6. Step 6: Final answer
    x = 72,526.48

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.