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Finding the Third Proportional to 3.41 and 6.86

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Solution

The third proportional to 3.41 and 6.86 is: 13.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.41 : 6.86 = 6.86 : x
  2. Step 2: Convert to fraction form
    3.41/6.86 = 6.86/x
  3. Step 3: Cross multiply
    3.41x = 6.86 × 6.86
  4. Step 4: Simplify right side
    3.41x = 47.09
  5. Step 5: Solve for x
    x = 47.09/3.41
  6. Step 6: Final answer
    x = 13.81

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Why These Related Problems?

These problems maintain the same ratio (2.01) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.