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Finding the Third Proportional to 3.05 and 3.97

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Solution

The third proportional to 3.05 and 3.97 is: 5.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.05 : 3.97 = 3.97 : x
  2. Step 2: Convert to fraction form
    3.05/3.97 = 3.97/x
  3. Step 3: Cross multiply
    3.05x = 3.97 × 3.97
  4. Step 4: Simplify right side
    3.05x = 15.73
  5. Step 5: Solve for x
    x = 15.73/3.05
  6. Step 6: Final answer
    x = 5.16

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.