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Finding the Third Proportional to 23.26 and 51.18

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Solution

The third proportional to 23.26 and 51.18 is: 112.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.26 : 51.18 = 51.18 : x
  2. Step 2: Convert to fraction form
    23.26/51.18 = 51.18/x
  3. Step 3: Cross multiply
    23.26x = 51.18 × 51.18
  4. Step 4: Simplify right side
    23.26x = 2,619.26
  5. Step 5: Solve for x
    x = 2,619.26/23.26
  6. Step 6: Final answer
    x = 112.63

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.