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Finding the Third Proportional to 33,824.25 and 48,078

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Solution

The third proportional to 33,824.25 and 48,078 is: 68,338.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,824.25 : 48,078 = 48,078 : x
  2. Step 2: Convert to fraction form
    33,824.25/48,078 = 48,078/x
  3. Step 3: Cross multiply
    33,824.25x = 48,078 × 48,078
  4. Step 4: Simplify right side
    33,824.25x = 2,311,494,084
  5. Step 5: Solve for x
    x = 2,311,494,084/33,824.25
  6. Step 6: Final answer
    x = 68,338.37

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.