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Finding the Third Proportional to 9,139.50 and 18,997.31

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Solution

The third proportional to 9,139.50 and 18,997.31 is: 39,487.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,139.50 : 18,997.31 = 18,997.31 : x
  2. Step 2: Convert to fraction form
    9,139.50/18,997.31 = 18,997.31/x
  3. Step 3: Cross multiply
    9,139.50x = 18,997.31 × 18,997.31
  4. Step 4: Simplify right side
    9,139.50x = 360,897,882.22
  5. Step 5: Solve for x
    x = 360,897,882.22/9,139.50
  6. Step 6: Final answer
    x = 39,487.71

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.