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Finding the Third Proportional to 20,997.38 and 31,591.13

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Solution

The third proportional to 20,997.38 and 31,591.13 is: 47,529.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,997.38 : 31,591.13 = 31,591.13 : x
  2. Step 2: Convert to fraction form
    20,997.38/31,591.13 = 31,591.13/x
  3. Step 3: Cross multiply
    20,997.38x = 31,591.13 × 31,591.13
  4. Step 4: Simplify right side
    20,997.38x = 997,999,178.77
  5. Step 5: Solve for x
    x = 997,999,178.77/20,997.38
  6. Step 6: Final answer
    x = 47,529.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.