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Finding the Third Proportional to 11.96 and 18.30

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Solution

The third proportional to 11.96 and 18.30 is: 27.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.96 : 18.30 = 18.30 : x
  2. Step 2: Convert to fraction form
    11.96/18.30 = 18.30/x
  3. Step 3: Cross multiply
    11.96x = 18.30 × 18.30
  4. Step 4: Simplify right side
    11.96x = 334.85
  5. Step 5: Solve for x
    x = 334.85/11.96
  6. Step 6: Final answer
    x = 27.99

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.