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Finding the Third Proportional to 1,744 and 4,115

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Solution

The third proportional to 1,744 and 4,115 is: 9,709.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,744 : 4,115 = 4,115 : x
  2. Step 2: Convert to fraction form
    1,744/4,115 = 4,115/x
  3. Step 3: Cross multiply
    1,744x = 4,115 × 4,115
  4. Step 4: Simplify right side
    1,744x = 16,933,225
  5. Step 5: Solve for x
    x = 16,933,225/1,744
  6. Step 6: Final answer
    x = 9,709.42

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.