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Finding the Third Proportional to 8.06 and 10.92

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Solution

The third proportional to 8.06 and 10.92 is: 14.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.06 : 10.92 = 10.92 : x
  2. Step 2: Convert to fraction form
    8.06/10.92 = 10.92/x
  3. Step 3: Cross multiply
    8.06x = 10.92 × 10.92
  4. Step 4: Simplify right side
    8.06x = 119.29
  5. Step 5: Solve for x
    x = 119.29/8.06
  6. Step 6: Final answer
    x = 14.80

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.