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Finding the Third Proportional to 12,118 and 17,185

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Solution

The third proportional to 12,118 and 17,185 is: 24,370.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,118 : 17,185 = 17,185 : x
  2. Step 2: Convert to fraction form
    12,118/17,185 = 17,185/x
  3. Step 3: Cross multiply
    12,118x = 17,185 × 17,185
  4. Step 4: Simplify right side
    12,118x = 295,324,225
  5. Step 5: Solve for x
    x = 295,324,225/12,118
  6. Step 6: Final answer
    x = 24,370.71

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.