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Finding the Third Proportional to 39,466 and 60,374

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Solution

The third proportional to 39,466 and 60,374 is: 92,358.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,466 : 60,374 = 60,374 : x
  2. Step 2: Convert to fraction form
    39,466/60,374 = 60,374/x
  3. Step 3: Cross multiply
    39,466x = 60,374 × 60,374
  4. Step 4: Simplify right side
    39,466x = 3,645,019,876
  5. Step 5: Solve for x
    x = 3,645,019,876/39,466
  6. Step 6: Final answer
    x = 92,358.48

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.