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Finding the Third Proportional to 11,775.38 and 25,631.44

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Solution

The third proportional to 11,775.38 and 25,631.44 is: 55,791.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,775.38 : 25,631.44 = 25,631.44 : x
  2. Step 2: Convert to fraction form
    11,775.38/25,631.44 = 25,631.44/x
  3. Step 3: Cross multiply
    11,775.38x = 25,631.44 × 25,631.44
  4. Step 4: Simplify right side
    11,775.38x = 656,970,588.32
  5. Step 5: Solve for x
    x = 656,970,588.32/11,775.38
  6. Step 6: Final answer
    x = 55,791.90

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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.