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Finding the Third Proportional to 41,950 and 62,357

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Solution

The third proportional to 41,950 and 62,357 is: 92,691.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,950 : 62,357 = 62,357 : x
  2. Step 2: Convert to fraction form
    41,950/62,357 = 62,357/x
  3. Step 3: Cross multiply
    41,950x = 62,357 × 62,357
  4. Step 4: Simplify right side
    41,950x = 3,888,395,449
  5. Step 5: Solve for x
    x = 3,888,395,449/41,950
  6. Step 6: Final answer
    x = 92,691.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.