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Finding the Third Proportional to 5,462 and 11,869

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Solution

The third proportional to 5,462 and 11,869 is: 25,791.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,462 : 11,869 = 11,869 : x
  2. Step 2: Convert to fraction form
    5,462/11,869 = 11,869/x
  3. Step 3: Cross multiply
    5,462x = 11,869 × 11,869
  4. Step 4: Simplify right side
    5,462x = 140,873,161
  5. Step 5: Solve for x
    x = 140,873,161/5,462
  6. Step 6: Final answer
    x = 25,791.50

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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.