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Finding the Third Proportional to 2,850.80 and 4,264.78

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Solution

The third proportional to 2,850.80 and 4,264.78 is: 6,380.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,850.80 : 4,264.78 = 4,264.78 : x
  2. Step 2: Convert to fraction form
    2,850.80/4,264.78 = 4,264.78/x
  3. Step 3: Cross multiply
    2,850.80x = 4,264.78 × 4,264.78
  4. Step 4: Simplify right side
    2,850.80x = 18,188,359.11
  5. Step 5: Solve for x
    x = 18,188,359.11/2,850.80
  6. Step 6: Final answer
    x = 6,380.10

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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.