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Finding the Third Proportional to 1,569 and 2,439

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Solution

The third proportional to 1,569 and 2,439 is: 3,791.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569 : 2,439 = 2,439 : x
  2. Step 2: Convert to fraction form
    1,569/2,439 = 2,439/x
  3. Step 3: Cross multiply
    1,569x = 2,439 × 2,439
  4. Step 4: Simplify right side
    1,569x = 5,948,721
  5. Step 5: Solve for x
    x = 5,948,721/1,569
  6. Step 6: Final answer
    x = 3,791.41

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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.