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Finding the Third Proportional to 2,631.23 and 5,559.34

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Solution

The third proportional to 2,631.23 and 5,559.34 is: 11,745.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,631.23 : 5,559.34 = 5,559.34 : x
  2. Step 2: Convert to fraction form
    2,631.23/5,559.34 = 5,559.34/x
  3. Step 3: Cross multiply
    2,631.23x = 5,559.34 × 5,559.34
  4. Step 4: Simplify right side
    2,631.23x = 30,906,226.92
  5. Step 5: Solve for x
    x = 30,906,226.92/2,631.23
  6. Step 6: Final answer
    x = 11,745.90

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.