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Finding the Third Proportional to 51.44 and 111.97

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Solution

The third proportional to 51.44 and 111.97 is: 243.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.44 : 111.97 = 111.97 : x
  2. Step 2: Convert to fraction form
    51.44/111.97 = 111.97/x
  3. Step 3: Cross multiply
    51.44x = 111.97 × 111.97
  4. Step 4: Simplify right side
    51.44x = 12,537.00
  5. Step 5: Solve for x
    x = 12,537.00/51.44
  6. Step 6: Final answer
    x = 243.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.