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Finding the Third Proportional to 38,001.38 and 87,964.10

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Solution

The third proportional to 38,001.38 and 87,964.10 is: 203,615.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,001.38 : 87,964.10 = 87,964.10 : x
  2. Step 2: Convert to fraction form
    38,001.38/87,964.10 = 87,964.10/x
  3. Step 3: Cross multiply
    38,001.38x = 87,964.10 × 87,964.10
  4. Step 4: Simplify right side
    38,001.38x = 7,737,683,163.70
  5. Step 5: Solve for x
    x = 7,737,683,163.70/38,001.38
  6. Step 6: Final answer
    x = 203,615.87

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.