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Finding the Third Proportional to 5,409 and 11,662

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Solution

The third proportional to 5,409 and 11,662 is: 25,143.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,409 : 11,662 = 11,662 : x
  2. Step 2: Convert to fraction form
    5,409/11,662 = 11,662/x
  3. Step 3: Cross multiply
    5,409x = 11,662 × 11,662
  4. Step 4: Simplify right side
    5,409x = 136,002,244
  5. Step 5: Solve for x
    x = 136,002,244/5,409
  6. Step 6: Final answer
    x = 25,143.69

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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.