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Finding the Third Proportional to 11.31 and 17.14

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Solution

The third proportional to 11.31 and 17.14 is: 25.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.31 : 17.14 = 17.14 : x
  2. Step 2: Convert to fraction form
    11.31/17.14 = 17.14/x
  3. Step 3: Cross multiply
    11.31x = 17.14 × 17.14
  4. Step 4: Simplify right side
    11.31x = 293.91
  5. Step 5: Solve for x
    x = 293.91/11.31
  6. Step 6: Final answer
    x = 25.98

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.