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Finding the Third Proportional to 51.26 and 76.17

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Solution

The third proportional to 51.26 and 76.17 is: 113.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.26 : 76.17 = 76.17 : x
  2. Step 2: Convert to fraction form
    51.26/76.17 = 76.17/x
  3. Step 3: Cross multiply
    51.26x = 76.17 × 76.17
  4. Step 4: Simplify right side
    51.26x = 5,802.60
  5. Step 5: Solve for x
    x = 5,802.60/51.26
  6. Step 6: Final answer
    x = 113.20

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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.