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Finding the Third Proportional to 2,040.82 and 3,053.32

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Solution

The third proportional to 2,040.82 and 3,053.32 is: 4,568.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,040.82 : 3,053.32 = 3,053.32 : x
  2. Step 2: Convert to fraction form
    2,040.82/3,053.32 = 3,053.32/x
  3. Step 3: Cross multiply
    2,040.82x = 3,053.32 × 3,053.32
  4. Step 4: Simplify right side
    2,040.82x = 9,322,764.93
  5. Step 5: Solve for x
    x = 9,322,764.93/2,040.82
  6. Step 6: Final answer
    x = 4,568.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.