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Finding the Third Proportional to 3,206 and 5,234

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Solution

The third proportional to 3,206 and 5,234 is: 8,544.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,206 : 5,234 = 5,234 : x
  2. Step 2: Convert to fraction form
    3,206/5,234 = 5,234/x
  3. Step 3: Cross multiply
    3,206x = 5,234 × 5,234
  4. Step 4: Simplify right side
    3,206x = 27,394,756
  5. Step 5: Solve for x
    x = 27,394,756/3,206
  6. Step 6: Final answer
    x = 8,544.84

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.