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Finding the Third Proportional to 33,297.75 and 68,478.75

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Solution

The third proportional to 33,297.75 and 68,478.75 is: 140,830.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,297.75 : 68,478.75 = 68,478.75 : x
  2. Step 2: Convert to fraction form
    33,297.75/68,478.75 = 68,478.75/x
  3. Step 3: Cross multiply
    33,297.75x = 68,478.75 × 68,478.75
  4. Step 4: Simplify right side
    33,297.75x = 4,689,339,201.56
  5. Step 5: Solve for x
    x = 4,689,339,201.56/33,297.75
  6. Step 6: Final answer
    x = 140,830.51

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.