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Finding the Third Proportional to 40,930 and 87,839.50

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Solution

The third proportional to 40,930 and 87,839.50 is: 188,511.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,930 : 87,839.50 = 87,839.50 : x
  2. Step 2: Convert to fraction form
    40,930/87,839.50 = 87,839.50/x
  3. Step 3: Cross multiply
    40,930x = 87,839.50 × 87,839.50
  4. Step 4: Simplify right side
    40,930x = 7,715,777,760.25
  5. Step 5: Solve for x
    x = 7,715,777,760.25/40,930
  6. Step 6: Final answer
    x = 188,511.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.