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Finding the Third Proportional to 12,702 and 18,993

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Solution

The third proportional to 12,702 and 18,993 is: 28,399.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,702 : 18,993 = 18,993 : x
  2. Step 2: Convert to fraction form
    12,702/18,993 = 18,993/x
  3. Step 3: Cross multiply
    12,702x = 18,993 × 18,993
  4. Step 4: Simplify right side
    12,702x = 360,734,049
  5. Step 5: Solve for x
    x = 360,734,049/12,702
  6. Step 6: Final answer
    x = 28,399.78

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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.