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Finding the Third Proportional to 20,569 and 27,874

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Solution

The third proportional to 20,569 and 27,874 is: 37,773.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,569 : 27,874 = 27,874 : x
  2. Step 2: Convert to fraction form
    20,569/27,874 = 27,874/x
  3. Step 3: Cross multiply
    20,569x = 27,874 × 27,874
  4. Step 4: Simplify right side
    20,569x = 776,959,876
  5. Step 5: Solve for x
    x = 776,959,876/20,569
  6. Step 6: Final answer
    x = 37,773.34

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.