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Finding the Third Proportional to 17.34 and 24.59

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Solution

The third proportional to 17.34 and 24.59 is: 34.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.34 : 24.59 = 24.59 : x
  2. Step 2: Convert to fraction form
    17.34/24.59 = 24.59/x
  3. Step 3: Cross multiply
    17.34x = 24.59 × 24.59
  4. Step 4: Simplify right side
    17.34x = 604.85
  5. Step 5: Solve for x
    x = 604.85/17.34
  6. Step 6: Final answer
    x = 34.87

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.