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Finding the Third Proportional to 24,204 and 51,864

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Solution

The third proportional to 24,204 and 51,864 is: 111,133.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,204 : 51,864 = 51,864 : x
  2. Step 2: Convert to fraction form
    24,204/51,864 = 51,864/x
  3. Step 3: Cross multiply
    24,204x = 51,864 × 51,864
  4. Step 4: Simplify right side
    24,204x = 2,689,874,496
  5. Step 5: Solve for x
    x = 2,689,874,496/24,204
  6. Step 6: Final answer
    x = 111,133.47

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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.