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Finding the Third Proportional to 33,028 and 72,616

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Solution

The third proportional to 33,028 and 72,616 is: 159,654.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,028 : 72,616 = 72,616 : x
  2. Step 2: Convert to fraction form
    33,028/72,616 = 72,616/x
  3. Step 3: Cross multiply
    33,028x = 72,616 × 72,616
  4. Step 4: Simplify right side
    33,028x = 5,273,083,456
  5. Step 5: Solve for x
    x = 5,273,083,456/33,028
  6. Step 6: Final answer
    x = 159,654.94

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.