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Finding the Third Proportional to 39,469 and 60,378

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Solution

The third proportional to 39,469 and 60,378 is: 92,363.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,469 : 60,378 = 60,378 : x
  2. Step 2: Convert to fraction form
    39,469/60,378 = 60,378/x
  3. Step 3: Cross multiply
    39,469x = 60,378 × 60,378
  4. Step 4: Simplify right side
    39,469x = 3,645,502,884
  5. Step 5: Solve for x
    x = 3,645,502,884/39,469
  6. Step 6: Final answer
    x = 92,363.70

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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.