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Finding the Third Proportional to 10,827 and 16,241

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Solution

The third proportional to 10,827 and 16,241 is: 24,362.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,827 : 16,241 = 16,241 : x
  2. Step 2: Convert to fraction form
    10,827/16,241 = 16,241/x
  3. Step 3: Cross multiply
    10,827x = 16,241 × 16,241
  4. Step 4: Simplify right side
    10,827x = 263,770,081
  5. Step 5: Solve for x
    x = 263,770,081/10,827
  6. Step 6: Final answer
    x = 24,362.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.