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Finding the Third Proportional to 8,638 and 18,504

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Solution

The third proportional to 8,638 and 18,504 is: 39,638.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,638 : 18,504 = 18,504 : x
  2. Step 2: Convert to fraction form
    8,638/18,504 = 18,504/x
  3. Step 3: Cross multiply
    8,638x = 18,504 × 18,504
  4. Step 4: Simplify right side
    8,638x = 342,398,016
  5. Step 5: Solve for x
    x = 342,398,016/8,638
  6. Step 6: Final answer
    x = 39,638.58

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.