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Finding the Third Proportional to 33,578 and 51,647

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Solution

The third proportional to 33,578 and 51,647 is: 79,439.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,578 : 51,647 = 51,647 : x
  2. Step 2: Convert to fraction form
    33,578/51,647 = 51,647/x
  3. Step 3: Cross multiply
    33,578x = 51,647 × 51,647
  4. Step 4: Simplify right side
    33,578x = 2,667,412,609
  5. Step 5: Solve for x
    x = 2,667,412,609/33,578
  6. Step 6: Final answer
    x = 79,439.29

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.