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Finding the Third Proportional to 3,499.03 and 5,350.22

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Solution

The third proportional to 3,499.03 and 5,350.22 is: 8,180.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,499.03 : 5,350.22 = 5,350.22 : x
  2. Step 2: Convert to fraction form
    3,499.03/5,350.22 = 5,350.22/x
  3. Step 3: Cross multiply
    3,499.03x = 5,350.22 × 5,350.22
  4. Step 4: Simplify right side
    3,499.03x = 28,624,840.67
  5. Step 5: Solve for x
    x = 28,624,840.67/3,499.03
  6. Step 6: Final answer
    x = 8,180.79

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.