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Finding the Third Proportional to 10,961.44 and 23,227.31

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Solution

The third proportional to 10,961.44 and 23,227.31 is: 49,218.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,961.44 : 23,227.31 = 23,227.31 : x
  2. Step 2: Convert to fraction form
    10,961.44/23,227.31 = 23,227.31/x
  3. Step 3: Cross multiply
    10,961.44x = 23,227.31 × 23,227.31
  4. Step 4: Simplify right side
    10,961.44x = 539,508,045.97
  5. Step 5: Solve for x
    x = 539,508,045.97/10,961.44
  6. Step 6: Final answer
    x = 49,218.73

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.