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Finding the Third Proportional to 11.46 and 27.43

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Solution

The third proportional to 11.46 and 27.43 is: 65.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.46 : 27.43 = 27.43 : x
  2. Step 2: Convert to fraction form
    11.46/27.43 = 27.43/x
  3. Step 3: Cross multiply
    11.46x = 27.43 × 27.43
  4. Step 4: Simplify right side
    11.46x = 752.53
  5. Step 5: Solve for x
    x = 752.53/11.46
  6. Step 6: Final answer
    x = 65.66

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.