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Finding the Third Proportional to 11,443.78 and 24,591.09

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Solution

The third proportional to 11,443.78 and 24,591.09 is: 52,842.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,443.78 : 24,591.09 = 24,591.09 : x
  2. Step 2: Convert to fraction form
    11,443.78/24,591.09 = 24,591.09/x
  3. Step 3: Cross multiply
    11,443.78x = 24,591.09 × 24,591.09
  4. Step 4: Simplify right side
    11,443.78x = 604,721,891.82
  5. Step 5: Solve for x
    x = 604,721,891.82/11,443.78
  6. Step 6: Final answer
    x = 52,842.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.