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Finding the Third Proportional to 40,138 and 62,353

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Solution

The third proportional to 40,138 and 62,353 is: 96,863.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,138 : 62,353 = 62,353 : x
  2. Step 2: Convert to fraction form
    40,138/62,353 = 62,353/x
  3. Step 3: Cross multiply
    40,138x = 62,353 × 62,353
  4. Step 4: Simplify right side
    40,138x = 3,887,896,609
  5. Step 5: Solve for x
    x = 3,887,896,609/40,138
  6. Step 6: Final answer
    x = 96,863.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.