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Finding the Third Proportional to 33,080.25 and 72,721.50

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Solution

The third proportional to 33,080.25 and 72,721.50 is: 159,866.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,080.25 : 72,721.50 = 72,721.50 : x
  2. Step 2: Convert to fraction form
    33,080.25/72,721.50 = 72,721.50/x
  3. Step 3: Cross multiply
    33,080.25x = 72,721.50 × 72,721.50
  4. Step 4: Simplify right side
    33,080.25x = 5,288,416,562.25
  5. Step 5: Solve for x
    x = 5,288,416,562.25/33,080.25
  6. Step 6: Final answer
    x = 159,866.28

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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.