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Finding the Third Proportional to 51.75 and 81.38

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Solution

The third proportional to 51.75 and 81.38 is: 127.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.75 : 81.38 = 81.38 : x
  2. Step 2: Convert to fraction form
    51.75/81.38 = 81.38/x
  3. Step 3: Cross multiply
    51.75x = 81.38 × 81.38
  4. Step 4: Simplify right side
    51.75x = 6,621.89
  5. Step 5: Solve for x
    x = 6,621.89/51.75
  6. Step 6: Final answer
    x = 127.96

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.