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Finding the Third Proportional to 3.46 and 6.41

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Solution

The third proportional to 3.46 and 6.41 is: 11.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.46 : 6.41 = 6.41 : x
  2. Step 2: Convert to fraction form
    3.46/6.41 = 6.41/x
  3. Step 3: Cross multiply
    3.46x = 6.41 × 6.41
  4. Step 4: Simplify right side
    3.46x = 41.15
  5. Step 5: Solve for x
    x = 41.15/3.46
  6. Step 6: Final answer
    x = 11.90

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.