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Finding the Third Proportional to 33,220 and 77,626

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Solution

The third proportional to 33,220 and 77,626 is: 181,390.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,220 : 77,626 = 77,626 : x
  2. Step 2: Convert to fraction form
    33,220/77,626 = 77,626/x
  3. Step 3: Cross multiply
    33,220x = 77,626 × 77,626
  4. Step 4: Simplify right side
    33,220x = 6,025,795,876
  5. Step 5: Solve for x
    x = 6,025,795,876/33,220
  6. Step 6: Final answer
    x = 181,390.60

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.