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Finding the Third Proportional to 2,201.98 and 3,410.23

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Solution

The third proportional to 2,201.98 and 3,410.23 is: 5,281.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,201.98 : 3,410.23 = 3,410.23 : x
  2. Step 2: Convert to fraction form
    2,201.98/3,410.23 = 3,410.23/x
  3. Step 3: Cross multiply
    2,201.98x = 3,410.23 × 3,410.23
  4. Step 4: Simplify right side
    2,201.98x = 11,629,645.21
  5. Step 5: Solve for x
    x = 11,629,645.21/2,201.98
  6. Step 6: Final answer
    x = 5,281.46

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Why These Related Problems?

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