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Finding the Third Proportional to 11,917.13 and 25,882.88

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Solution

The third proportional to 11,917.13 and 25,882.88 is: 56,215.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,917.13 : 25,882.88 = 25,882.88 : x
  2. Step 2: Convert to fraction form
    11,917.13/25,882.88 = 25,882.88/x
  3. Step 3: Cross multiply
    11,917.13x = 25,882.88 × 25,882.88
  4. Step 4: Simplify right side
    11,917.13x = 669,923,218.27
  5. Step 5: Solve for x
    x = 669,923,218.27/11,917.13
  6. Step 6: Final answer
    x = 56,215.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.