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Finding the Third Proportional to 33,724 and 50,694

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Solution

The third proportional to 33,724 and 50,694 is: 76,203.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,724 : 50,694 = 50,694 : x
  2. Step 2: Convert to fraction form
    33,724/50,694 = 50,694/x
  3. Step 3: Cross multiply
    33,724x = 50,694 × 50,694
  4. Step 4: Simplify right side
    33,724x = 2,569,881,636
  5. Step 5: Solve for x
    x = 2,569,881,636/33,724
  6. Step 6: Final answer
    x = 76,203.35

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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.