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Finding the Third Proportional to 7,692.75 and 18,591.75

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Solution

The third proportional to 7,692.75 and 18,591.75 is: 44,932.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,692.75 : 18,591.75 = 18,591.75 : x
  2. Step 2: Convert to fraction form
    7,692.75/18,591.75 = 18,591.75/x
  3. Step 3: Cross multiply
    7,692.75x = 18,591.75 × 18,591.75
  4. Step 4: Simplify right side
    7,692.75x = 345,653,168.06
  5. Step 5: Solve for x
    x = 345,653,168.06/7,692.75
  6. Step 6: Final answer
    x = 44,932.33

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These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.