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Finding the Third Proportional to 18,910 and 41,137

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Solution

The third proportional to 18,910 and 41,137 is: 89,489.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,910 : 41,137 = 41,137 : x
  2. Step 2: Convert to fraction form
    18,910/41,137 = 41,137/x
  3. Step 3: Cross multiply
    18,910x = 41,137 × 41,137
  4. Step 4: Simplify right side
    18,910x = 1,692,252,769
  5. Step 5: Solve for x
    x = 1,692,252,769/18,910
  6. Step 6: Final answer
    x = 89,489.83

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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.