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Finding the Third Proportional to 1,099.41 and 2,228.34

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Solution

The third proportional to 1,099.41 and 2,228.34 is: 4,516.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.41 : 2,228.34 = 2,228.34 : x
  2. Step 2: Convert to fraction form
    1,099.41/2,228.34 = 2,228.34/x
  3. Step 3: Cross multiply
    1,099.41x = 2,228.34 × 2,228.34
  4. Step 4: Simplify right side
    1,099.41x = 4,965,515.87
  5. Step 5: Solve for x
    x = 4,965,515.87/1,099.41
  6. Step 6: Final answer
    x = 4,516.54

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.