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Finding the Third Proportional to 39,898 and 60,677

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Solution

The third proportional to 39,898 and 60,677 is: 92,277.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,898 : 60,677 = 60,677 : x
  2. Step 2: Convert to fraction form
    39,898/60,677 = 60,677/x
  3. Step 3: Cross multiply
    39,898x = 60,677 × 60,677
  4. Step 4: Simplify right side
    39,898x = 3,681,698,329
  5. Step 5: Solve for x
    x = 3,681,698,329/39,898
  6. Step 6: Final answer
    x = 92,277.77

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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.