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Finding the Third Proportional to 13,892 and 22,568

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Solution

The third proportional to 13,892 and 22,568 is: 36,662.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,892 : 22,568 = 22,568 : x
  2. Step 2: Convert to fraction form
    13,892/22,568 = 22,568/x
  3. Step 3: Cross multiply
    13,892x = 22,568 × 22,568
  4. Step 4: Simplify right side
    13,892x = 509,314,624
  5. Step 5: Solve for x
    x = 509,314,624/13,892
  6. Step 6: Final answer
    x = 36,662.44

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.