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Finding the Third Proportional to 51.05 and 76.92

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Solution

The third proportional to 51.05 and 76.92 is: 115.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.05 : 76.92 = 76.92 : x
  2. Step 2: Convert to fraction form
    51.05/76.92 = 76.92/x
  3. Step 3: Cross multiply
    51.05x = 76.92 × 76.92
  4. Step 4: Simplify right side
    51.05x = 5,916.97
  5. Step 5: Solve for x
    x = 5,916.97/51.05
  6. Step 6: Final answer
    x = 115.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.