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Finding the Third Proportional to 33,828.25 and 76,511.25

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Solution

The third proportional to 33,828.25 and 76,511.25 is: 173,049.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,828.25 : 76,511.25 = 76,511.25 : x
  2. Step 2: Convert to fraction form
    33,828.25/76,511.25 = 76,511.25/x
  3. Step 3: Cross multiply
    33,828.25x = 76,511.25 × 76,511.25
  4. Step 4: Simplify right side
    33,828.25x = 5,853,971,376.56
  5. Step 5: Solve for x
    x = 5,853,971,376.56/33,828.25
  6. Step 6: Final answer
    x = 173,049.78

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.