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Finding the Third Proportional to 12,206 and 18,442

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Solution

The third proportional to 12,206 and 18,442 is: 27,863.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,206 : 18,442 = 18,442 : x
  2. Step 2: Convert to fraction form
    12,206/18,442 = 18,442/x
  3. Step 3: Cross multiply
    12,206x = 18,442 × 18,442
  4. Step 4: Simplify right side
    12,206x = 340,107,364
  5. Step 5: Solve for x
    x = 340,107,364/12,206
  6. Step 6: Final answer
    x = 27,863.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.