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Finding the Third Proportional to 2,998.25 and 7,002.75

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Solution

The third proportional to 2,998.25 and 7,002.75 is: 16,355.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,998.25 : 7,002.75 = 7,002.75 : x
  2. Step 2: Convert to fraction form
    2,998.25/7,002.75 = 7,002.75/x
  3. Step 3: Cross multiply
    2,998.25x = 7,002.75 × 7,002.75
  4. Step 4: Simplify right side
    2,998.25x = 49,038,507.56
  5. Step 5: Solve for x
    x = 49,038,507.56/2,998.25
  6. Step 6: Final answer
    x = 16,355.71

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.