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Finding the Third Proportional to 3.45 and 7.66

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Solution

The third proportional to 3.45 and 7.66 is: 17.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.45 : 7.66 = 7.66 : x
  2. Step 2: Convert to fraction form
    3.45/7.66 = 7.66/x
  3. Step 3: Cross multiply
    3.45x = 7.66 × 7.66
  4. Step 4: Simplify right side
    3.45x = 58.73
  5. Step 5: Solve for x
    x = 58.73/3.45
  6. Step 6: Final answer
    x = 17.04

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.