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Finding the Third Proportional to 38,997 and 62,785

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Solution

The third proportional to 38,997 and 62,785 is: 101,083.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,997 : 62,785 = 62,785 : x
  2. Step 2: Convert to fraction form
    38,997/62,785 = 62,785/x
  3. Step 3: Cross multiply
    38,997x = 62,785 × 62,785
  4. Step 4: Simplify right side
    38,997x = 3,941,956,225
  5. Step 5: Solve for x
    x = 3,941,956,225/38,997
  6. Step 6: Final answer
    x = 101,083.58

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.