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Finding the Third Proportional to 51.44 and 56.97

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Solution

The third proportional to 51.44 and 56.97 is: 63.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.44 : 56.97 = 56.97 : x
  2. Step 2: Convert to fraction form
    51.44/56.97 = 56.97/x
  3. Step 3: Cross multiply
    51.44x = 56.97 × 56.97
  4. Step 4: Simplify right side
    51.44x = 3,245.44
  5. Step 5: Solve for x
    x = 3,245.44/51.44
  6. Step 6: Final answer
    x = 63.09

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These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.