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Finding the Third Proportional to 13.11 and 27.56

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Solution

The third proportional to 13.11 and 27.56 is: 57.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.11 : 27.56 = 27.56 : x
  2. Step 2: Convert to fraction form
    13.11/27.56 = 27.56/x
  3. Step 3: Cross multiply
    13.11x = 27.56 × 27.56
  4. Step 4: Simplify right side
    13.11x = 759.29
  5. Step 5: Solve for x
    x = 759.29/13.11
  6. Step 6: Final answer
    x = 57.92

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.