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Finding the Third Proportional to 3.25 and 6.68

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Solution

The third proportional to 3.25 and 6.68 is: 13.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.25 : 6.68 = 6.68 : x
  2. Step 2: Convert to fraction form
    3.25/6.68 = 6.68/x
  3. Step 3: Cross multiply
    3.25x = 6.68 × 6.68
  4. Step 4: Simplify right side
    3.25x = 44.56
  5. Step 5: Solve for x
    x = 44.56/3.25
  6. Step 6: Final answer
    x = 13.72

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.