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Finding the Third Proportional to 8.81 and 18.19

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Solution

The third proportional to 8.81 and 18.19 is: 37.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.81 : 18.19 = 18.19 : x
  2. Step 2: Convert to fraction form
    8.81/18.19 = 18.19/x
  3. Step 3: Cross multiply
    8.81x = 18.19 × 18.19
  4. Step 4: Simplify right side
    8.81x = 330.79
  5. Step 5: Solve for x
    x = 330.79/8.81
  6. Step 6: Final answer
    x = 37.54

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.