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Finding the Third Proportional to 8.08 and 16.27

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Solution

The third proportional to 8.08 and 16.27 is: 32.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.08 : 16.27 = 16.27 : x
  2. Step 2: Convert to fraction form
    8.08/16.27 = 16.27/x
  3. Step 3: Cross multiply
    8.08x = 16.27 × 16.27
  4. Step 4: Simplify right side
    8.08x = 264.57
  5. Step 5: Solve for x
    x = 264.57/8.08
  6. Step 6: Final answer
    x = 32.74

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Why These Related Problems?

These problems maintain the same ratio (2.01) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.