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Finding the Third Proportional to 17.96 and 27.42

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Solution

The third proportional to 17.96 and 27.42 is: 41.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.96 : 27.42 = 27.42 : x
  2. Step 2: Convert to fraction form
    17.96/27.42 = 27.42/x
  3. Step 3: Cross multiply
    17.96x = 27.42 × 27.42
  4. Step 4: Simplify right side
    17.96x = 751.96
  5. Step 5: Solve for x
    x = 751.96/17.96
  6. Step 6: Final answer
    x = 41.86

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.