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Finding the Third Proportional to 23.14 and 33.79

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Solution

The third proportional to 23.14 and 33.79 is: 49.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.14 : 33.79 = 33.79 : x
  2. Step 2: Convert to fraction form
    23.14/33.79 = 33.79/x
  3. Step 3: Cross multiply
    23.14x = 33.79 × 33.79
  4. Step 4: Simplify right side
    23.14x = 1,141.80
  5. Step 5: Solve for x
    x = 1,141.80/23.14
  6. Step 6: Final answer
    x = 49.33

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.