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Finding the Third Proportional to 23,843 and 51,782

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Solution

The third proportional to 23,843 and 51,782 is: 112,459.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,843 : 51,782 = 51,782 : x
  2. Step 2: Convert to fraction form
    23,843/51,782 = 51,782/x
  3. Step 3: Cross multiply
    23,843x = 51,782 × 51,782
  4. Step 4: Simplify right side
    23,843x = 2,681,375,524
  5. Step 5: Solve for x
    x = 2,681,375,524/23,843
  6. Step 6: Final answer
    x = 112,459.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.