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Finding the Third Proportional to 5.53 and 11.96

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Solution

The third proportional to 5.53 and 11.96 is: 25.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.53 : 11.96 = 11.96 : x
  2. Step 2: Convert to fraction form
    5.53/11.96 = 11.96/x
  3. Step 3: Cross multiply
    5.53x = 11.96 × 11.96
  4. Step 4: Simplify right side
    5.53x = 143.12
  5. Step 5: Solve for x
    x = 143.12/5.53
  6. Step 6: Final answer
    x = 25.88

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.