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Finding the Third Proportional to 23.73 and 34.49

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Solution

The third proportional to 23.73 and 34.49 is: 50.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.73 : 34.49 = 34.49 : x
  2. Step 2: Convert to fraction form
    23.73/34.49 = 34.49/x
  3. Step 3: Cross multiply
    23.73x = 34.49 × 34.49
  4. Step 4: Simplify right side
    23.73x = 1,189.44
  5. Step 5: Solve for x
    x = 1,189.44/23.73
  6. Step 6: Final answer
    x = 50.12

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.