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Finding the Third Proportional to 8.01 and 17.62

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Solution

The third proportional to 8.01 and 17.62 is: 38.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.01 : 17.62 = 17.62 : x
  2. Step 2: Convert to fraction form
    8.01/17.62 = 17.62/x
  3. Step 3: Cross multiply
    8.01x = 17.62 × 17.62
  4. Step 4: Simplify right side
    8.01x = 310.46
  5. Step 5: Solve for x
    x = 310.46/8.01
  6. Step 6: Final answer
    x = 38.76

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.