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Finding the Third Proportional to 3,864 and 4,266

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Solution

The third proportional to 3,864 and 4,266 is: 4,709.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,864 : 4,266 = 4,266 : x
  2. Step 2: Convert to fraction form
    3,864/4,266 = 4,266/x
  3. Step 3: Cross multiply
    3,864x = 4,266 × 4,266
  4. Step 4: Simplify right side
    3,864x = 18,198,756
  5. Step 5: Solve for x
    x = 18,198,756/3,864
  6. Step 6: Final answer
    x = 4,709.82

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.