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Finding the Third Proportional to 13,569 and 24,204

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Solution

The third proportional to 13,569 and 24,204 is: 43,174.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,569 : 24,204 = 24,204 : x
  2. Step 2: Convert to fraction form
    13,569/24,204 = 24,204/x
  3. Step 3: Cross multiply
    13,569x = 24,204 × 24,204
  4. Step 4: Simplify right side
    13,569x = 585,833,616
  5. Step 5: Solve for x
    x = 585,833,616/13,569
  6. Step 6: Final answer
    x = 43,174.41

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.