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Finding the Third Proportional to 13,936 and 24,569

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Solution

The third proportional to 13,936 and 24,569 is: 43,314.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,936 : 24,569 = 24,569 : x
  2. Step 2: Convert to fraction form
    13,936/24,569 = 24,569/x
  3. Step 3: Cross multiply
    13,936x = 24,569 × 24,569
  4. Step 4: Simplify right side
    13,936x = 603,635,761
  5. Step 5: Solve for x
    x = 603,635,761/13,936
  6. Step 6: Final answer
    x = 43,314.85

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.