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Finding the Third Proportional to 47,990 and 67,107

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Solution

The third proportional to 47,990 and 67,107 is: 93,839.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,990 : 67,107 = 67,107 : x
  2. Step 2: Convert to fraction form
    47,990/67,107 = 67,107/x
  3. Step 3: Cross multiply
    47,990x = 67,107 × 67,107
  4. Step 4: Simplify right side
    47,990x = 4,503,349,449
  5. Step 5: Solve for x
    x = 4,503,349,449/47,990
  6. Step 6: Final answer
    x = 93,839.33

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.