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Finding the Third Proportional to 3.71 and 6.41

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Solution

The third proportional to 3.71 and 6.41 is: 11.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.71 : 6.41 = 6.41 : x
  2. Step 2: Convert to fraction form
    3.71/6.41 = 6.41/x
  3. Step 3: Cross multiply
    3.71x = 6.41 × 6.41
  4. Step 4: Simplify right side
    3.71x = 41.04
  5. Step 5: Solve for x
    x = 41.04/3.71
  6. Step 6: Final answer
    x = 11.06

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Why These Related Problems?

These problems maintain the same ratio (1.73) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.