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Finding the Third Proportional to 41,861 and 62,792

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Solution

The third proportional to 41,861 and 62,792 is: 94,188.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,861 : 62,792 = 62,792 : x
  2. Step 2: Convert to fraction form
    41,861/62,792 = 62,792/x
  3. Step 3: Cross multiply
    41,861x = 62,792 × 62,792
  4. Step 4: Simplify right side
    41,861x = 3,942,835,264
  5. Step 5: Solve for x
    x = 3,942,835,264/41,861
  6. Step 6: Final answer
    x = 94,188.75

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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.