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Finding the Third Proportional to 13.44 and 25.97

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Solution

The third proportional to 13.44 and 25.97 is: 50.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.44 : 25.97 = 25.97 : x
  2. Step 2: Convert to fraction form
    13.44/25.97 = 25.97/x
  3. Step 3: Cross multiply
    13.44x = 25.97 × 25.97
  4. Step 4: Simplify right side
    13.44x = 674.38
  5. Step 5: Solve for x
    x = 674.38/13.44
  6. Step 6: Final answer
    x = 50.19

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Why These Related Problems?

These problems maintain the same ratio (1.93) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.