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Finding the Third Proportional to 3,206 and 3,458

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Solution

The third proportional to 3,206 and 3,458 is: 3,729.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,206 : 3,458 = 3,458 : x
  2. Step 2: Convert to fraction form
    3,206/3,458 = 3,458/x
  3. Step 3: Cross multiply
    3,206x = 3,458 × 3,458
  4. Step 4: Simplify right side
    3,206x = 11,957,764
  5. Step 5: Solve for x
    x = 11,957,764/3,206
  6. Step 6: Final answer
    x = 3,729.81

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.