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Finding the Third Proportional to 3,424 and 3,802

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Solution

The third proportional to 3,424 and 3,802 is: 4,221.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,424 : 3,802 = 3,802 : x
  2. Step 2: Convert to fraction form
    3,424/3,802 = 3,802/x
  3. Step 3: Cross multiply
    3,424x = 3,802 × 3,802
  4. Step 4: Simplify right side
    3,424x = 14,455,204
  5. Step 5: Solve for x
    x = 14,455,204/3,424
  6. Step 6: Final answer
    x = 4,221.73

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.