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Finding the Third Proportional to 3,608.72 and 5,399.16

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Solution

The third proportional to 3,608.72 and 5,399.16 is: 8,077.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,608.72 : 5,399.16 = 5,399.16 : x
  2. Step 2: Convert to fraction form
    3,608.72/5,399.16 = 5,399.16/x
  3. Step 3: Cross multiply
    3,608.72x = 5,399.16 × 5,399.16
  4. Step 4: Simplify right side
    3,608.72x = 29,150,888.21
  5. Step 5: Solve for x
    x = 29,150,888.21/3,608.72
  6. Step 6: Final answer
    x = 8,077.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.