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Finding the Third Proportional to 39,098 and 60,663

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Solution

The third proportional to 39,098 and 60,663 is: 94,122.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,098 : 60,663 = 60,663 : x
  2. Step 2: Convert to fraction form
    39,098/60,663 = 60,663/x
  3. Step 3: Cross multiply
    39,098x = 60,663 × 60,663
  4. Step 4: Simplify right side
    39,098x = 3,679,999,569
  5. Step 5: Solve for x
    x = 3,679,999,569/39,098
  6. Step 6: Final answer
    x = 94,122.45

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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.