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Finding the Third Proportional to 8,041 and 12,449

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Solution

The third proportional to 8,041 and 12,449 is: 19,273.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,041 : 12,449 = 12,449 : x
  2. Step 2: Convert to fraction form
    8,041/12,449 = 12,449/x
  3. Step 3: Cross multiply
    8,041x = 12,449 × 12,449
  4. Step 4: Simplify right side
    8,041x = 154,977,601
  5. Step 5: Solve for x
    x = 154,977,601/8,041
  6. Step 6: Final answer
    x = 19,273.42

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.