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Finding the Third Proportional to 11 and 25.97

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Solution

The third proportional to 11 and 25.97 is: 61.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11 : 25.97 = 25.97 : x
  2. Step 2: Convert to fraction form
    11/25.97 = 25.97/x
  3. Step 3: Cross multiply
    11x = 25.97 × 25.97
  4. Step 4: Simplify right side
    11x = 674.38
  5. Step 5: Solve for x
    x = 674.38/11
  6. Step 6: Final answer
    x = 61.31

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.