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Finding the Third Proportional to 3,394 and 3,626

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Solution

The third proportional to 3,394 and 3,626 is: 3,873.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,394 : 3,626 = 3,626 : x
  2. Step 2: Convert to fraction form
    3,394/3,626 = 3,626/x
  3. Step 3: Cross multiply
    3,394x = 3,626 × 3,626
  4. Step 4: Simplify right side
    3,394x = 13,147,876
  5. Step 5: Solve for x
    x = 13,147,876/3,394
  6. Step 6: Final answer
    x = 3,873.86

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.