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Finding the Third Proportional to 33,877 and 50,324.25

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Solution

The third proportional to 33,877 and 50,324.25 is: 74,756.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,877 : 50,324.25 = 50,324.25 : x
  2. Step 2: Convert to fraction form
    33,877/50,324.25 = 50,324.25/x
  3. Step 3: Cross multiply
    33,877x = 50,324.25 × 50,324.25
  4. Step 4: Simplify right side
    33,877x = 2,532,530,138.06
  5. Step 5: Solve for x
    x = 2,532,530,138.06/33,877
  6. Step 6: Final answer
    x = 74,756.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.