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Finding the Third Proportional to 33,624 and 50,859

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Solution

The third proportional to 33,624 and 50,859 is: 76,928.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,624 : 50,859 = 50,859 : x
  2. Step 2: Convert to fraction form
    33,624/50,859 = 50,859/x
  3. Step 3: Cross multiply
    33,624x = 50,859 × 50,859
  4. Step 4: Simplify right side
    33,624x = 2,586,637,881
  5. Step 5: Solve for x
    x = 2,586,637,881/33,624
  6. Step 6: Final answer
    x = 76,928.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.