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Finding the Third Proportional to 8.06 and 10.22

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Solution

The third proportional to 8.06 and 10.22 is: 12.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.06 : 10.22 = 10.22 : x
  2. Step 2: Convert to fraction form
    8.06/10.22 = 10.22/x
  3. Step 3: Cross multiply
    8.06x = 10.22 × 10.22
  4. Step 4: Simplify right side
    8.06x = 104.42
  5. Step 5: Solve for x
    x = 104.42/8.06
  6. Step 6: Final answer
    x = 12.95

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.