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Finding the Third Proportional to 11.34 and 17.31

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Solution

The third proportional to 11.34 and 17.31 is: 26.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.34 : 17.31 = 17.31 : x
  2. Step 2: Convert to fraction form
    11.34/17.31 = 17.31/x
  3. Step 3: Cross multiply
    11.34x = 17.31 × 17.31
  4. Step 4: Simplify right side
    11.34x = 299.72
  5. Step 5: Solve for x
    x = 299.72/11.34
  6. Step 6: Final answer
    x = 26.42

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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.