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Finding the Third Proportional to 11,826 and 18,381

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Solution

The third proportional to 11,826 and 18,381 is: 28,569.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,826 : 18,381 = 18,381 : x
  2. Step 2: Convert to fraction form
    11,826/18,381 = 18,381/x
  3. Step 3: Cross multiply
    11,826x = 18,381 × 18,381
  4. Step 4: Simplify right side
    11,826x = 337,861,161
  5. Step 5: Solve for x
    x = 337,861,161/11,826
  6. Step 6: Final answer
    x = 28,569.35

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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.