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Finding the Third Proportional to 7.62 and 8.20

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Solution

The third proportional to 7.62 and 8.20 is: 8.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.62 : 8.20 = 8.20 : x
  2. Step 2: Convert to fraction form
    7.62/8.20 = 8.20/x
  3. Step 3: Cross multiply
    7.62x = 8.20 × 8.20
  4. Step 4: Simplify right side
    7.62x = 67.27
  5. Step 5: Solve for x
    x = 67.27/7.62
  6. Step 6: Final answer
    x = 8.83

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.