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Finding the Third Proportional to 8.80 and 16.61

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Solution

The third proportional to 8.80 and 16.61 is: 31.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.80 : 16.61 = 16.61 : x
  2. Step 2: Convert to fraction form
    8.80/16.61 = 16.61/x
  3. Step 3: Cross multiply
    8.80x = 16.61 × 16.61
  4. Step 4: Simplify right side
    8.80x = 276.05
  5. Step 5: Solve for x
    x = 276.05/8.80
  6. Step 6: Final answer
    x = 31.38

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Why These Related Problems?

These problems maintain the same ratio (1.89) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.