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Finding the Third Proportional to 33,296 and 69,668

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Solution

The third proportional to 33,296 and 69,668 is: 145,772.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,296 : 69,668 = 69,668 : x
  2. Step 2: Convert to fraction form
    33,296/69,668 = 69,668/x
  3. Step 3: Cross multiply
    33,296x = 69,668 × 69,668
  4. Step 4: Simplify right side
    33,296x = 4,853,630,224
  5. Step 5: Solve for x
    x = 4,853,630,224/33,296
  6. Step 6: Final answer
    x = 145,772.17

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.