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Finding the Third Proportional to 39,002 and 62,792

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Solution

The third proportional to 39,002 and 62,792 is: 101,093.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,002 : 62,792 = 62,792 : x
  2. Step 2: Convert to fraction form
    39,002/62,792 = 62,792/x
  3. Step 3: Cross multiply
    39,002x = 62,792 × 62,792
  4. Step 4: Simplify right side
    39,002x = 3,942,835,264
  5. Step 5: Solve for x
    x = 3,942,835,264/39,002
  6. Step 6: Final answer
    x = 101,093.16

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.