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Finding the Third Proportional to 10,379 and 15,569

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Solution

The third proportional to 10,379 and 15,569 is: 23,354.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,379 : 15,569 = 15,569 : x
  2. Step 2: Convert to fraction form
    10,379/15,569 = 15,569/x
  3. Step 3: Cross multiply
    10,379x = 15,569 × 15,569
  4. Step 4: Simplify right side
    10,379x = 242,393,761
  5. Step 5: Solve for x
    x = 242,393,761/10,379
  6. Step 6: Final answer
    x = 23,354.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.