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Finding the Third Proportional to 2,517.75 and 5,359.38

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Solution

The third proportional to 2,517.75 and 5,359.38 is: 11,408.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,517.75 : 5,359.38 = 5,359.38 : x
  2. Step 2: Convert to fraction form
    2,517.75/5,359.38 = 5,359.38/x
  3. Step 3: Cross multiply
    2,517.75x = 5,359.38 × 5,359.38
  4. Step 4: Simplify right side
    2,517.75x = 28,722,900.39
  5. Step 5: Solve for x
    x = 28,722,900.39/2,517.75
  6. Step 6: Final answer
    x = 11,408.16

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.