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Finding the Third Proportional to 7.92 and 12.67

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Solution

The third proportional to 7.92 and 12.67 is: 20.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.92 : 12.67 = 12.67 : x
  2. Step 2: Convert to fraction form
    7.92/12.67 = 12.67/x
  3. Step 3: Cross multiply
    7.92x = 12.67 × 12.67
  4. Step 4: Simplify right side
    7.92x = 160.49
  5. Step 5: Solve for x
    x = 160.49/7.92
  6. Step 6: Final answer
    x = 20.27

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.