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Finding the Third Proportional to 17,114 and 24,087

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Solution

The third proportional to 17,114 and 24,087 is: 33,901.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,114 : 24,087 = 24,087 : x
  2. Step 2: Convert to fraction form
    17,114/24,087 = 24,087/x
  3. Step 3: Cross multiply
    17,114x = 24,087 × 24,087
  4. Step 4: Simplify right side
    17,114x = 580,183,569
  5. Step 5: Solve for x
    x = 580,183,569/17,114
  6. Step 6: Final answer
    x = 33,901.11

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.