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Finding the Third Proportional to 39,902 and 60,683

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Solution

The third proportional to 39,902 and 60,683 is: 92,286.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,902 : 60,683 = 60,683 : x
  2. Step 2: Convert to fraction form
    39,902/60,683 = 60,683/x
  3. Step 3: Cross multiply
    39,902x = 60,683 × 60,683
  4. Step 4: Simplify right side
    39,902x = 3,682,426,489
  5. Step 5: Solve for x
    x = 3,682,426,489/39,902
  6. Step 6: Final answer
    x = 92,286.76

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.