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Finding the Third Proportional to 6.82 and 12.66

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Solution

The third proportional to 6.82 and 12.66 is: 23.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.82 : 12.66 = 12.66 : x
  2. Step 2: Convert to fraction form
    6.82/12.66 = 12.66/x
  3. Step 3: Cross multiply
    6.82x = 12.66 × 12.66
  4. Step 4: Simplify right side
    6.82x = 160.18
  5. Step 5: Solve for x
    x = 160.18/6.82
  6. Step 6: Final answer
    x = 23.49

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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.