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Finding the Third Proportional to 51.26 and 76.57

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Solution

The third proportional to 51.26 and 76.57 is: 114.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.26 : 76.57 = 76.57 : x
  2. Step 2: Convert to fraction form
    51.26/76.57 = 76.57/x
  3. Step 3: Cross multiply
    51.26x = 76.57 × 76.57
  4. Step 4: Simplify right side
    51.26x = 5,863.01
  5. Step 5: Solve for x
    x = 5,863.01/51.26
  6. Step 6: Final answer
    x = 114.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.