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Finding the Third Proportional to 5,189 and 11,551

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Solution

The third proportional to 5,189 and 11,551 is: 25,713.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,189 : 11,551 = 11,551 : x
  2. Step 2: Convert to fraction form
    5,189/11,551 = 11,551/x
  3. Step 3: Cross multiply
    5,189x = 11,551 × 11,551
  4. Step 4: Simplify right side
    5,189x = 133,425,601
  5. Step 5: Solve for x
    x = 133,425,601/5,189
  6. Step 6: Final answer
    x = 25,713.16

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.