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Finding the Third Proportional to 33,664 and 70,879

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Solution

The third proportional to 33,664 and 70,879 is: 149,234.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,664 : 70,879 = 70,879 : x
  2. Step 2: Convert to fraction form
    33,664/70,879 = 70,879/x
  3. Step 3: Cross multiply
    33,664x = 70,879 × 70,879
  4. Step 4: Simplify right side
    33,664x = 5,023,832,641
  5. Step 5: Solve for x
    x = 5,023,832,641/33,664
  6. Step 6: Final answer
    x = 149,234.57

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.