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Finding the Third Proportional to 2,878.03 and 3,367.83

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Solution

The third proportional to 2,878.03 and 3,367.83 is: 3,940.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,878.03 : 3,367.83 = 3,367.83 : x
  2. Step 2: Convert to fraction form
    2,878.03/3,367.83 = 3,367.83/x
  3. Step 3: Cross multiply
    2,878.03x = 3,367.83 × 3,367.83
  4. Step 4: Simplify right side
    2,878.03x = 11,342,266.28
  5. Step 5: Solve for x
    x = 11,342,266.28/2,878.03
  6. Step 6: Final answer
    x = 3,940.98

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These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.