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Finding the Third Proportional to 11,324 and 18,869

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Solution

The third proportional to 11,324 and 18,869 is: 31,441.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,324 : 18,869 = 18,869 : x
  2. Step 2: Convert to fraction form
    11,324/18,869 = 18,869/x
  3. Step 3: Cross multiply
    11,324x = 18,869 × 18,869
  4. Step 4: Simplify right side
    11,324x = 356,039,161
  5. Step 5: Solve for x
    x = 356,039,161/11,324
  6. Step 6: Final answer
    x = 31,441.11

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.