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Finding the Third Proportional to 51.56 and 77.44

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Solution

The third proportional to 51.56 and 77.44 is: 116.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.56 : 77.44 = 77.44 : x
  2. Step 2: Convert to fraction form
    51.56/77.44 = 77.44/x
  3. Step 3: Cross multiply
    51.56x = 77.44 × 77.44
  4. Step 4: Simplify right side
    51.56x = 5,996.57
  5. Step 5: Solve for x
    x = 5,996.57/51.56
  6. Step 6: Final answer
    x = 116.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.