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Finding the Third Proportional to 41,553 and 62,163

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Solution

The third proportional to 41,553 and 62,163 is: 92,995.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,553 : 62,163 = 62,163 : x
  2. Step 2: Convert to fraction form
    41,553/62,163 = 62,163/x
  3. Step 3: Cross multiply
    41,553x = 62,163 × 62,163
  4. Step 4: Simplify right side
    41,553x = 3,864,238,569
  5. Step 5: Solve for x
    x = 3,864,238,569/41,553
  6. Step 6: Final answer
    x = 92,995.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.