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Finding the Third Proportional to 37,863 and 82,601

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Solution

The third proportional to 37,863 and 82,601 is: 180,200.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,863 : 82,601 = 82,601 : x
  2. Step 2: Convert to fraction form
    37,863/82,601 = 82,601/x
  3. Step 3: Cross multiply
    37,863x = 82,601 × 82,601
  4. Step 4: Simplify right side
    37,863x = 6,822,925,201
  5. Step 5: Solve for x
    x = 6,822,925,201/37,863
  6. Step 6: Final answer
    x = 180,200.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.