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Finding the Third Proportional to 3,287.06 and 5,099.44

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Solution

The third proportional to 3,287.06 and 5,099.44 is: 7,911.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,287.06 : 5,099.44 = 5,099.44 : x
  2. Step 2: Convert to fraction form
    3,287.06/5,099.44 = 5,099.44/x
  3. Step 3: Cross multiply
    3,287.06x = 5,099.44 × 5,099.44
  4. Step 4: Simplify right side
    3,287.06x = 26,004,262.82
  5. Step 5: Solve for x
    x = 26,004,262.82/3,287.06
  6. Step 6: Final answer
    x = 7,911.09

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.