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Finding the Third Proportional to 33,009.75 and 68,692.50

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Solution

The third proportional to 33,009.75 and 68,692.50 is: 142,947.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,009.75 : 68,692.50 = 68,692.50 : x
  2. Step 2: Convert to fraction form
    33,009.75/68,692.50 = 68,692.50/x
  3. Step 3: Cross multiply
    33,009.75x = 68,692.50 × 68,692.50
  4. Step 4: Simplify right side
    33,009.75x = 4,718,659,556.25
  5. Step 5: Solve for x
    x = 4,718,659,556.25/33,009.75
  6. Step 6: Final answer
    x = 142,947.45

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.