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Finding the Third Proportional to 3.83 and 6.97

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Solution

The third proportional to 3.83 and 6.97 is: 12.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.83 : 6.97 = 6.97 : x
  2. Step 2: Convert to fraction form
    3.83/6.97 = 6.97/x
  3. Step 3: Cross multiply
    3.83x = 6.97 × 6.97
  4. Step 4: Simplify right side
    3.83x = 48.56
  5. Step 5: Solve for x
    x = 48.56/3.83
  6. Step 6: Final answer
    x = 12.67

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Why These Related Problems?

These problems maintain the same ratio (1.82) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.