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Finding the Third Proportional to 10,227 and 23,901

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Solution

The third proportional to 10,227 and 23,901 is: 55,857.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,227 : 23,901 = 23,901 : x
  2. Step 2: Convert to fraction form
    10,227/23,901 = 23,901/x
  3. Step 3: Cross multiply
    10,227x = 23,901 × 23,901
  4. Step 4: Simplify right side
    10,227x = 571,257,801
  5. Step 5: Solve for x
    x = 571,257,801/10,227
  6. Step 6: Final answer
    x = 55,857.81

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.