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Finding the Third Proportional to 24,177 and 50,802

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Solution

The third proportional to 24,177 and 50,802 is: 106,747.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,177 : 50,802 = 50,802 : x
  2. Step 2: Convert to fraction form
    24,177/50,802 = 50,802/x
  3. Step 3: Cross multiply
    24,177x = 50,802 × 50,802
  4. Step 4: Simplify right side
    24,177x = 2,580,843,204
  5. Step 5: Solve for x
    x = 2,580,843,204/24,177
  6. Step 6: Final answer
    x = 106,747.87

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.