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Finding the Third Proportional to 33.54 and 48.73

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Solution

The third proportional to 33.54 and 48.73 is: 70.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.54 : 48.73 = 48.73 : x
  2. Step 2: Convert to fraction form
    33.54/48.73 = 48.73/x
  3. Step 3: Cross multiply
    33.54x = 48.73 × 48.73
  4. Step 4: Simplify right side
    33.54x = 2,374.28
  5. Step 5: Solve for x
    x = 2,374.28/33.54
  6. Step 6: Final answer
    x = 70.79

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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.