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Finding the Third Proportional to 11.94 and 27.43

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Solution

The third proportional to 11.94 and 27.43 is: 63.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.94 : 27.43 = 27.43 : x
  2. Step 2: Convert to fraction form
    11.94/27.43 = 27.43/x
  3. Step 3: Cross multiply
    11.94x = 27.43 × 27.43
  4. Step 4: Simplify right side
    11.94x = 752.16
  5. Step 5: Solve for x
    x = 752.16/11.94
  6. Step 6: Final answer
    x = 63.02

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.