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Finding the Third Proportional to 40,972 and 62,551

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Solution

The third proportional to 40,972 and 62,551 is: 95,495.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,972 : 62,551 = 62,551 : x
  2. Step 2: Convert to fraction form
    40,972/62,551 = 62,551/x
  3. Step 3: Cross multiply
    40,972x = 62,551 × 62,551
  4. Step 4: Simplify right side
    40,972x = 3,912,627,601
  5. Step 5: Solve for x
    x = 3,912,627,601/40,972
  6. Step 6: Final answer
    x = 95,495.16

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.