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Finding the Third Proportional to 9.18 and 17.18

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Solution

The third proportional to 9.18 and 17.18 is: 32.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.18 : 17.18 = 17.18 : x
  2. Step 2: Convert to fraction form
    9.18/17.18 = 17.18/x
  3. Step 3: Cross multiply
    9.18x = 17.18 × 17.18
  4. Step 4: Simplify right side
    9.18x = 295.31
  5. Step 5: Solve for x
    x = 295.31/9.18
  6. Step 6: Final answer
    x = 32.18

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.