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Finding the Third Proportional to 41,952 and 62,360

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Solution

The third proportional to 41,952 and 62,360 is: 92,695.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,952 : 62,360 = 62,360 : x
  2. Step 2: Convert to fraction form
    41,952/62,360 = 62,360/x
  3. Step 3: Cross multiply
    41,952x = 62,360 × 62,360
  4. Step 4: Simplify right side
    41,952x = 3,888,769,600
  5. Step 5: Solve for x
    x = 3,888,769,600/41,952
  6. Step 6: Final answer
    x = 92,695.69

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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.