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Finding the Third Proportional to 2,757.16 and 3,850.98

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Solution

The third proportional to 2,757.16 and 3,850.98 is: 5,378.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,757.16 : 3,850.98 = 3,850.98 : x
  2. Step 2: Convert to fraction form
    2,757.16/3,850.98 = 3,850.98/x
  3. Step 3: Cross multiply
    2,757.16x = 3,850.98 × 3,850.98
  4. Step 4: Simplify right side
    2,757.16x = 14,830,050.57
  5. Step 5: Solve for x
    x = 14,830,050.57/2,757.16
  6. Step 6: Final answer
    x = 5,378.73

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.