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Finding the Third Proportional to 24,206 and 51,868

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Solution

The third proportional to 24,206 and 51,868 is: 111,141.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,206 : 51,868 = 51,868 : x
  2. Step 2: Convert to fraction form
    24,206/51,868 = 51,868/x
  3. Step 3: Cross multiply
    24,206x = 51,868 × 51,868
  4. Step 4: Simplify right side
    24,206x = 2,690,289,424
  5. Step 5: Solve for x
    x = 2,690,289,424/24,206
  6. Step 6: Final answer
    x = 111,141.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.