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Finding the Third Proportional to 18 and 38.31

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Solution

The third proportional to 18 and 38.31 is: 81.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    18 : 38.31 = 38.31 : x
  2. Step 2: Convert to fraction form
    18/38.31 = 38.31/x
  3. Step 3: Cross multiply
    18x = 38.31 × 38.31
  4. Step 4: Simplify right side
    18x = 1,467.85
  5. Step 5: Solve for x
    x = 1,467.85/18
  6. Step 6: Final answer
    x = 81.55

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.