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Finding the Third Proportional to 2,518.75 and 5,427.38

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Solution

The third proportional to 2,518.75 and 5,427.38 is: 11,694.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,518.75 : 5,427.38 = 5,427.38 : x
  2. Step 2: Convert to fraction form
    2,518.75/5,427.38 = 5,427.38/x
  3. Step 3: Cross multiply
    2,518.75x = 5,427.38 × 5,427.38
  4. Step 4: Simplify right side
    2,518.75x = 29,456,399.39
  5. Step 5: Solve for x
    x = 29,456,399.39/2,518.75
  6. Step 6: Final answer
    x = 11,694.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.