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Finding the Third Proportional to 18,700 and 41,194

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Solution

The third proportional to 18,700 and 41,194 is: 90,745.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,700 : 41,194 = 41,194 : x
  2. Step 2: Convert to fraction form
    18,700/41,194 = 41,194/x
  3. Step 3: Cross multiply
    18,700x = 41,194 × 41,194
  4. Step 4: Simplify right side
    18,700x = 1,696,945,636
  5. Step 5: Solve for x
    x = 1,696,945,636/18,700
  6. Step 6: Final answer
    x = 90,745.76

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.