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Finding the Third Proportional to 11.96 and 27.45

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Solution

The third proportional to 11.96 and 27.45 is: 62.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.96 : 27.45 = 27.45 : x
  2. Step 2: Convert to fraction form
    11.96/27.45 = 27.45/x
  3. Step 3: Cross multiply
    11.96x = 27.45 × 27.45
  4. Step 4: Simplify right side
    11.96x = 753.40
  5. Step 5: Solve for x
    x = 753.40/11.96
  6. Step 6: Final answer
    x = 62.97

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Why These Related Problems?

These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.