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Finding the Third Proportional to 2,775.73 and 5,863.32

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Solution

The third proportional to 2,775.73 and 5,863.32 is: 12,385.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,775.73 : 5,863.32 = 5,863.32 : x
  2. Step 2: Convert to fraction form
    2,775.73/5,863.32 = 5,863.32/x
  3. Step 3: Cross multiply
    2,775.73x = 5,863.32 × 5,863.32
  4. Step 4: Simplify right side
    2,775.73x = 34,378,570.89
  5. Step 5: Solve for x
    x = 34,378,570.89/2,775.73
  6. Step 6: Final answer
    x = 12,385.43

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