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Finding the Third Proportional to 3,652.12 and 8,049.08

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Solution

The third proportional to 3,652.12 and 8,049.08 is: 17,739.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,652.12 : 8,049.08 = 8,049.08 : x
  2. Step 2: Convert to fraction form
    3,652.12/8,049.08 = 8,049.08/x
  3. Step 3: Cross multiply
    3,652.12x = 8,049.08 × 8,049.08
  4. Step 4: Simplify right side
    3,652.12x = 64,787,662.59
  5. Step 5: Solve for x
    x = 64,787,662.59/3,652.12
  6. Step 6: Final answer
    x = 17,739.75

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.