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Finding the Third Proportional to 12,191.20 and 26,614.97

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Solution

The third proportional to 12,191.20 and 26,614.97 is: 58,103.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,191.20 : 26,614.97 = 26,614.97 : x
  2. Step 2: Convert to fraction form
    12,191.20/26,614.97 = 26,614.97/x
  3. Step 3: Cross multiply
    12,191.20x = 26,614.97 × 26,614.97
  4. Step 4: Simplify right side
    12,191.20x = 708,356,561.56
  5. Step 5: Solve for x
    x = 708,356,561.56/12,191.20
  6. Step 6: Final answer
    x = 58,103.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.