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Finding the Third Proportional to 3,623.25 and 5,496.75

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Solution

The third proportional to 3,623.25 and 5,496.75 is: 8,338.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,623.25 : 5,496.75 = 5,496.75 : x
  2. Step 2: Convert to fraction form
    3,623.25/5,496.75 = 5,496.75/x
  3. Step 3: Cross multiply
    3,623.25x = 5,496.75 × 5,496.75
  4. Step 4: Simplify right side
    3,623.25x = 30,214,260.56
  5. Step 5: Solve for x
    x = 30,214,260.56/3,623.25
  6. Step 6: Final answer
    x = 8,338.99

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.