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Finding the Third Proportional to 3.67 and 7.82

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Solution

The third proportional to 3.67 and 7.82 is: 16.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.67 : 7.82 = 7.82 : x
  2. Step 2: Convert to fraction form
    3.67/7.82 = 7.82/x
  3. Step 3: Cross multiply
    3.67x = 7.82 × 7.82
  4. Step 4: Simplify right side
    3.67x = 61.22
  5. Step 5: Solve for x
    x = 61.22/3.67
  6. Step 6: Final answer
    x = 16.66

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.