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Finding the Third Proportional to 33,954 and 50,947

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Solution

The third proportional to 33,954 and 50,947 is: 76,444.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,954 : 50,947 = 50,947 : x
  2. Step 2: Convert to fraction form
    33,954/50,947 = 50,947/x
  3. Step 3: Cross multiply
    33,954x = 50,947 × 50,947
  4. Step 4: Simplify right side
    33,954x = 2,595,596,809
  5. Step 5: Solve for x
    x = 2,595,596,809/33,954
  6. Step 6: Final answer
    x = 76,444.51

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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.