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Finding the Third Proportional to 18,638 and 28,138

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Solution

The third proportional to 18,638 and 28,138 is: 42,480.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,638 : 28,138 = 28,138 : x
  2. Step 2: Convert to fraction form
    18,638/28,138 = 28,138/x
  3. Step 3: Cross multiply
    18,638x = 28,138 × 28,138
  4. Step 4: Simplify right side
    18,638x = 791,747,044
  5. Step 5: Solve for x
    x = 791,747,044/18,638
  6. Step 6: Final answer
    x = 42,480.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.