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Finding the Third Proportional to 24,204 and 52,512

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Solution

The third proportional to 24,204 and 52,512 is: 113,927.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,204 : 52,512 = 52,512 : x
  2. Step 2: Convert to fraction form
    24,204/52,512 = 52,512/x
  3. Step 3: Cross multiply
    24,204x = 52,512 × 52,512
  4. Step 4: Simplify right side
    24,204x = 2,757,510,144
  5. Step 5: Solve for x
    x = 2,757,510,144/24,204
  6. Step 6: Final answer
    x = 113,927.87

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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.