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Finding the Third Proportional to 3,099.75 and 3,221.25

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Solution

The third proportional to 3,099.75 and 3,221.25 is: 3,347.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,099.75 : 3,221.25 = 3,221.25 : x
  2. Step 2: Convert to fraction form
    3,099.75/3,221.25 = 3,221.25/x
  3. Step 3: Cross multiply
    3,099.75x = 3,221.25 × 3,221.25
  4. Step 4: Simplify right side
    3,099.75x = 10,376,451.56
  5. Step 5: Solve for x
    x = 10,376,451.56/3,099.75
  6. Step 6: Final answer
    x = 3,347.51

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These problems maintain the same ratio (1.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.