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Finding the Third Proportional to 23.73 and 51.57

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Solution

The third proportional to 23.73 and 51.57 is: 112.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.73 : 51.57 = 51.57 : x
  2. Step 2: Convert to fraction form
    23.73/51.57 = 51.57/x
  3. Step 3: Cross multiply
    23.73x = 51.57 × 51.57
  4. Step 4: Simplify right side
    23.73x = 2,659.90
  5. Step 5: Solve for x
    x = 2,659.90/23.73
  6. Step 6: Final answer
    x = 112.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.