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Finding the Third Proportional to 41,792 and 62,664

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Solution

The third proportional to 41,792 and 62,664 is: 93,960.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,792 : 62,664 = 62,664 : x
  2. Step 2: Convert to fraction form
    41,792/62,664 = 62,664/x
  3. Step 3: Cross multiply
    41,792x = 62,664 × 62,664
  4. Step 4: Simplify right side
    41,792x = 3,926,776,896
  5. Step 5: Solve for x
    x = 3,926,776,896/41,792
  6. Step 6: Final answer
    x = 93,960.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.