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Finding the Third Proportional to 33,036 and 68,808

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Solution

The third proportional to 33,036 and 68,808 is: 143,314.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,036 : 68,808 = 68,808 : x
  2. Step 2: Convert to fraction form
    33,036/68,808 = 68,808/x
  3. Step 3: Cross multiply
    33,036x = 68,808 × 68,808
  4. Step 4: Simplify right side
    33,036x = 4,734,540,864
  5. Step 5: Solve for x
    x = 4,734,540,864/33,036
  6. Step 6: Final answer
    x = 143,314.59

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.