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Finding the Third Proportional to 33,982.88 and 73,804.50

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Solution

The third proportional to 33,982.88 and 73,804.50 is: 160,289.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,982.88 : 73,804.50 = 73,804.50 : x
  2. Step 2: Convert to fraction form
    33,982.88/73,804.50 = 73,804.50/x
  3. Step 3: Cross multiply
    33,982.88x = 73,804.50 × 73,804.50
  4. Step 4: Simplify right side
    33,982.88x = 5,447,104,220.25
  5. Step 5: Solve for x
    x = 5,447,104,220.25/33,982.88
  6. Step 6: Final answer
    x = 160,289.68

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.