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Finding the Third Proportional to 11.96 and 25.62

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Solution

The third proportional to 11.96 and 25.62 is: 54.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.96 : 25.62 = 25.62 : x
  2. Step 2: Convert to fraction form
    11.96/25.62 = 25.62/x
  3. Step 3: Cross multiply
    11.96x = 25.62 × 25.62
  4. Step 4: Simplify right side
    11.96x = 656.24
  5. Step 5: Solve for x
    x = 656.24/11.96
  6. Step 6: Final answer
    x = 54.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.