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Finding the Third Proportional to 11,876 and 18,406

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Solution

The third proportional to 11,876 and 18,406 is: 28,526.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,876 : 18,406 = 18,406 : x
  2. Step 2: Convert to fraction form
    11,876/18,406 = 18,406/x
  3. Step 3: Cross multiply
    11,876x = 18,406 × 18,406
  4. Step 4: Simplify right side
    11,876x = 338,780,836
  5. Step 5: Solve for x
    x = 338,780,836/11,876
  6. Step 6: Final answer
    x = 28,526.51

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.