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Finding the Third Proportional to 33,245 and 49,874

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Solution

The third proportional to 33,245 and 49,874 is: 74,820.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,245 : 49,874 = 49,874 : x
  2. Step 2: Convert to fraction form
    33,245/49,874 = 49,874/x
  3. Step 3: Cross multiply
    33,245x = 49,874 × 49,874
  4. Step 4: Simplify right side
    33,245x = 2,487,415,876
  5. Step 5: Solve for x
    x = 2,487,415,876/33,245
  6. Step 6: Final answer
    x = 74,820.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.