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Finding the Third Proportional to 18,898 and 41,197

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Solution

The third proportional to 18,898 and 41,197 is: 89,808.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,898 : 41,197 = 41,197 : x
  2. Step 2: Convert to fraction form
    18,898/41,197 = 41,197/x
  3. Step 3: Cross multiply
    18,898x = 41,197 × 41,197
  4. Step 4: Simplify right side
    18,898x = 1,697,192,809
  5. Step 5: Solve for x
    x = 1,697,192,809/18,898
  6. Step 6: Final answer
    x = 89,808.06

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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.