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Finding the Third Proportional to 39,003 and 62,811

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Solution

The third proportional to 39,003 and 62,811 is: 101,151.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,003 : 62,811 = 62,811 : x
  2. Step 2: Convert to fraction form
    39,003/62,811 = 62,811/x
  3. Step 3: Cross multiply
    39,003x = 62,811 × 62,811
  4. Step 4: Simplify right side
    39,003x = 3,945,221,721
  5. Step 5: Solve for x
    x = 3,945,221,721/39,003
  6. Step 6: Final answer
    x = 101,151.75

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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.