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Finding the Third Proportional to 33,796 and 69,735

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Solution

The third proportional to 33,796 and 69,735 is: 143,891.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,796 : 69,735 = 69,735 : x
  2. Step 2: Convert to fraction form
    33,796/69,735 = 69,735/x
  3. Step 3: Cross multiply
    33,796x = 69,735 × 69,735
  4. Step 4: Simplify right side
    33,796x = 4,862,970,225
  5. Step 5: Solve for x
    x = 4,862,970,225/33,796
  6. Step 6: Final answer
    x = 143,891.89

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.