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Finding the Third Proportional to 2,609.06 and 4,040.44

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Solution

The third proportional to 2,609.06 and 4,040.44 is: 6,257.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,609.06 : 4,040.44 = 4,040.44 : x
  2. Step 2: Convert to fraction form
    2,609.06/4,040.44 = 4,040.44/x
  3. Step 3: Cross multiply
    2,609.06x = 4,040.44 × 4,040.44
  4. Step 4: Simplify right side
    2,609.06x = 16,325,135.19
  5. Step 5: Solve for x
    x = 16,325,135.19/2,609.06
  6. Step 6: Final answer
    x = 6,257.09

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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.