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Finding the Third Proportional to 39,002 and 60,501

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Solution

The third proportional to 39,002 and 60,501 is: 93,850.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,002 : 60,501 = 60,501 : x
  2. Step 2: Convert to fraction form
    39,002/60,501 = 60,501/x
  3. Step 3: Cross multiply
    39,002x = 60,501 × 60,501
  4. Step 4: Simplify right side
    39,002x = 3,660,371,001
  5. Step 5: Solve for x
    x = 3,660,371,001/39,002
  6. Step 6: Final answer
    x = 93,850.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.