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Finding the Third Proportional to 38,785 and 62,227

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Solution

The third proportional to 38,785 and 62,227 is: 99,837.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,785 : 62,227 = 62,227 : x
  2. Step 2: Convert to fraction form
    38,785/62,227 = 62,227/x
  3. Step 3: Cross multiply
    38,785x = 62,227 × 62,227
  4. Step 4: Simplify right side
    38,785x = 3,872,199,529
  5. Step 5: Solve for x
    x = 3,872,199,529/38,785
  6. Step 6: Final answer
    x = 99,837.55

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.