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Finding the Third Proportional to 8.54 and 18.15

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Solution

The third proportional to 8.54 and 18.15 is: 38.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.54 : 18.15 = 18.15 : x
  2. Step 2: Convert to fraction form
    8.54/18.15 = 18.15/x
  3. Step 3: Cross multiply
    8.54x = 18.15 × 18.15
  4. Step 4: Simplify right side
    8.54x = 329.56
  5. Step 5: Solve for x
    x = 329.56/8.54
  6. Step 6: Final answer
    x = 38.58

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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.