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Finding the Third Proportional to 11,831 and 24,199

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Solution

The third proportional to 11,831 and 24,199 is: 49,496.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,831 : 24,199 = 24,199 : x
  2. Step 2: Convert to fraction form
    11,831/24,199 = 24,199/x
  3. Step 3: Cross multiply
    11,831x = 24,199 × 24,199
  4. Step 4: Simplify right side
    11,831x = 585,591,601
  5. Step 5: Solve for x
    x = 585,591,601/11,831
  6. Step 6: Final answer
    x = 49,496.37

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.