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Finding the Third Proportional to 12,186 and 16,812

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Solution

The third proportional to 12,186 and 16,812 is: 23,194.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,186 : 16,812 = 16,812 : x
  2. Step 2: Convert to fraction form
    12,186/16,812 = 16,812/x
  3. Step 3: Cross multiply
    12,186x = 16,812 × 16,812
  4. Step 4: Simplify right side
    12,186x = 282,643,344
  5. Step 5: Solve for x
    x = 282,643,344/12,186
  6. Step 6: Final answer
    x = 23,194.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.