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Finding the Third Proportional to 23.75 and 51.31

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Solution

The third proportional to 23.75 and 51.31 is: 110.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.75 : 51.31 = 51.31 : x
  2. Step 2: Convert to fraction form
    23.75/51.31 = 51.31/x
  3. Step 3: Cross multiply
    23.75x = 51.31 × 51.31
  4. Step 4: Simplify right side
    23.75x = 2,632.97
  5. Step 5: Solve for x
    x = 2,632.97/23.75
  6. Step 6: Final answer
    x = 110.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.