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Finding the Third Proportional to 22,191.38 and 31,213.88

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Solution

The third proportional to 22,191.38 and 31,213.88 is: 43,904.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,191.38 : 31,213.88 = 31,213.88 : x
  2. Step 2: Convert to fraction form
    22,191.38/31,213.88 = 31,213.88/x
  3. Step 3: Cross multiply
    22,191.38x = 31,213.88 × 31,213.88
  4. Step 4: Simplify right side
    22,191.38x = 974,305,992.52
  5. Step 5: Solve for x
    x = 974,305,992.52/22,191.38
  6. Step 6: Final answer
    x = 43,904.71

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.