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Finding the Third Proportional to 39,930 and 61,107

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Solution

The third proportional to 39,930 and 61,107 is: 93,515.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,930 : 61,107 = 61,107 : x
  2. Step 2: Convert to fraction form
    39,930/61,107 = 61,107/x
  3. Step 3: Cross multiply
    39,930x = 61,107 × 61,107
  4. Step 4: Simplify right side
    39,930x = 3,734,065,449
  5. Step 5: Solve for x
    x = 3,734,065,449/39,930
  6. Step 6: Final answer
    x = 93,515.29

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.