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Finding the Third Proportional to 15,569 and 24,379

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Solution

The third proportional to 15,569 and 24,379 is: 38,174.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,569 : 24,379 = 24,379 : x
  2. Step 2: Convert to fraction form
    15,569/24,379 = 24,379/x
  3. Step 3: Cross multiply
    15,569x = 24,379 × 24,379
  4. Step 4: Simplify right side
    15,569x = 594,335,641
  5. Step 5: Solve for x
    x = 594,335,641/15,569
  6. Step 6: Final answer
    x = 38,174.30

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.