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Finding the Third Proportional to 33,661.50 and 74,059.50

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Solution

The third proportional to 33,661.50 and 74,059.50 is: 162,940.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,661.50 : 74,059.50 = 74,059.50 : x
  2. Step 2: Convert to fraction form
    33,661.50/74,059.50 = 74,059.50/x
  3. Step 3: Cross multiply
    33,661.50x = 74,059.50 × 74,059.50
  4. Step 4: Simplify right side
    33,661.50x = 5,484,809,540.25
  5. Step 5: Solve for x
    x = 5,484,809,540.25/33,661.50
  6. Step 6: Final answer
    x = 162,940.14

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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.