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Finding the Third Proportional to 23.11 and 54.95

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Solution

The third proportional to 23.11 and 54.95 is: 130.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.11 : 54.95 = 54.95 : x
  2. Step 2: Convert to fraction form
    23.11/54.95 = 54.95/x
  3. Step 3: Cross multiply
    23.11x = 54.95 × 54.95
  4. Step 4: Simplify right side
    23.11x = 3,019.85
  5. Step 5: Solve for x
    x = 3,019.85/23.11
  6. Step 6: Final answer
    x = 130.68

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.