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Finding the Third Proportional to 5,538 and 11,951

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Solution

The third proportional to 5,538 and 11,951 is: 25,790.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,538 : 11,951 = 11,951 : x
  2. Step 2: Convert to fraction form
    5,538/11,951 = 11,951/x
  3. Step 3: Cross multiply
    5,538x = 11,951 × 11,951
  4. Step 4: Simplify right side
    5,538x = 142,826,401
  5. Step 5: Solve for x
    x = 142,826,401/5,538
  6. Step 6: Final answer
    x = 25,790.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.