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Finding the Third Proportional to 5,586 and 12,279

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Solution

The third proportional to 5,586 and 12,279 is: 26,991.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,586 : 12,279 = 12,279 : x
  2. Step 2: Convert to fraction form
    5,586/12,279 = 12,279/x
  3. Step 3: Cross multiply
    5,586x = 12,279 × 12,279
  4. Step 4: Simplify right side
    5,586x = 150,773,841
  5. Step 5: Solve for x
    x = 150,773,841/5,586
  6. Step 6: Final answer
    x = 26,991.38

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.