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Finding the Third Proportional to 32,550.75 and 67,692.75

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Solution

The third proportional to 32,550.75 and 67,692.75 is: 140,774.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,550.75 : 67,692.75 = 67,692.75 : x
  2. Step 2: Convert to fraction form
    32,550.75/67,692.75 = 67,692.75/x
  3. Step 3: Cross multiply
    32,550.75x = 67,692.75 × 67,692.75
  4. Step 4: Simplify right side
    32,550.75x = 4,582,308,402.56
  5. Step 5: Solve for x
    x = 4,582,308,402.56/32,550.75
  6. Step 6: Final answer
    x = 140,774.28

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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.