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Finding the Third Proportional to 13,606 and 18,214

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Solution

The third proportional to 13,606 and 18,214 is: 24,382.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,606 : 18,214 = 18,214 : x
  2. Step 2: Convert to fraction form
    13,606/18,214 = 18,214/x
  3. Step 3: Cross multiply
    13,606x = 18,214 × 18,214
  4. Step 4: Simplify right side
    13,606x = 331,749,796
  5. Step 5: Solve for x
    x = 331,749,796/13,606
  6. Step 6: Final answer
    x = 24,382.61

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.