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Finding the Third Proportional to 51.09 and 76.69

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Solution

The third proportional to 51.09 and 76.69 is: 115.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.09 : 76.69 = 76.69 : x
  2. Step 2: Convert to fraction form
    51.09/76.69 = 76.69/x
  3. Step 3: Cross multiply
    51.09x = 76.69 × 76.69
  4. Step 4: Simplify right side
    51.09x = 5,880.97
  5. Step 5: Solve for x
    x = 5,880.97/51.09
  6. Step 6: Final answer
    x = 115.10

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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.