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Finding the Third Proportional to 10,686 and 16,219

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Solution

The third proportional to 10,686 and 16,219 is: 24,616.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,686 : 16,219 = 16,219 : x
  2. Step 2: Convert to fraction form
    10,686/16,219 = 16,219/x
  3. Step 3: Cross multiply
    10,686x = 16,219 × 16,219
  4. Step 4: Simplify right side
    10,686x = 263,055,961
  5. Step 5: Solve for x
    x = 263,055,961/10,686
  6. Step 6: Final answer
    x = 24,616.88

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.