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Finding the Third Proportional to 33,512.25 and 69,780.94

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Solution

The third proportional to 33,512.25 and 69,780.94 is: 145,301.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,512.25 : 69,780.94 = 69,780.94 : x
  2. Step 2: Convert to fraction form
    33,512.25/69,780.94 = 69,780.94/x
  3. Step 3: Cross multiply
    33,512.25x = 69,780.94 × 69,780.94
  4. Step 4: Simplify right side
    33,512.25x = 4,869,379,238.38
  5. Step 5: Solve for x
    x = 4,869,379,238.38/33,512.25
  6. Step 6: Final answer
    x = 145,301.47

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.