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Finding the Third Proportional to 5,489 and 11,890

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Solution

The third proportional to 5,489 and 11,890 is: 25,755.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,489 : 11,890 = 11,890 : x
  2. Step 2: Convert to fraction form
    5,489/11,890 = 11,890/x
  3. Step 3: Cross multiply
    5,489x = 11,890 × 11,890
  4. Step 4: Simplify right side
    5,489x = 141,372,100
  5. Step 5: Solve for x
    x = 141,372,100/5,489
  6. Step 6: Final answer
    x = 25,755.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.