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Finding the Third Proportional to 12,182 and 25,286

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Solution

The third proportional to 12,182 and 25,286 is: 52,485.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,182 : 25,286 = 25,286 : x
  2. Step 2: Convert to fraction form
    12,182/25,286 = 25,286/x
  3. Step 3: Cross multiply
    12,182x = 25,286 × 25,286
  4. Step 4: Simplify right side
    12,182x = 639,381,796
  5. Step 5: Solve for x
    x = 639,381,796/12,182
  6. Step 6: Final answer
    x = 52,485.78

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.