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Finding the Third Proportional to 40,864 and 62,484

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Solution

The third proportional to 40,864 and 62,484 is: 95,542.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,864 : 62,484 = 62,484 : x
  2. Step 2: Convert to fraction form
    40,864/62,484 = 62,484/x
  3. Step 3: Cross multiply
    40,864x = 62,484 × 62,484
  4. Step 4: Simplify right side
    40,864x = 3,904,250,256
  5. Step 5: Solve for x
    x = 3,904,250,256/40,864
  6. Step 6: Final answer
    x = 95,542.54

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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.