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Finding the Third Proportional to 11,177.44 and 23,687.44

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Solution

The third proportional to 11,177.44 and 23,687.44 is: 50,198.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,177.44 : 23,687.44 = 23,687.44 : x
  2. Step 2: Convert to fraction form
    11,177.44/23,687.44 = 23,687.44/x
  3. Step 3: Cross multiply
    11,177.44x = 23,687.44 × 23,687.44
  4. Step 4: Simplify right side
    11,177.44x = 561,094,695.32
  5. Step 5: Solve for x
    x = 561,094,695.32/11,177.44
  6. Step 6: Final answer
    x = 50,198.87

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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.