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Finding the Third Proportional to 33,456 and 47,568

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Solution

The third proportional to 33,456 and 47,568 is: 67,632.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,456 : 47,568 = 47,568 : x
  2. Step 2: Convert to fraction form
    33,456/47,568 = 47,568/x
  3. Step 3: Cross multiply
    33,456x = 47,568 × 47,568
  4. Step 4: Simplify right side
    33,456x = 2,262,714,624
  5. Step 5: Solve for x
    x = 2,262,714,624/33,456
  6. Step 6: Final answer
    x = 67,632.55

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.