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Finding the Third Proportional to 18,704 and 41,098

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Solution

The third proportional to 18,704 and 41,098 is: 90,303.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,704 : 41,098 = 41,098 : x
  2. Step 2: Convert to fraction form
    18,704/41,098 = 41,098/x
  3. Step 3: Cross multiply
    18,704x = 41,098 × 41,098
  4. Step 4: Simplify right side
    18,704x = 1,689,045,604
  5. Step 5: Solve for x
    x = 1,689,045,604/18,704
  6. Step 6: Final answer
    x = 90,303.98

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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.