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Finding the Third Proportional to 25.97 and 54.84

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Solution

The third proportional to 25.97 and 54.84 is: 115.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.97 : 54.84 = 54.84 : x
  2. Step 2: Convert to fraction form
    25.97/54.84 = 54.84/x
  3. Step 3: Cross multiply
    25.97x = 54.84 × 54.84
  4. Step 4: Simplify right side
    25.97x = 3,007.84
  5. Step 5: Solve for x
    x = 3,007.84/25.97
  6. Step 6: Final answer
    x = 115.83

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.