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Finding the Third Proportional to 40,198 and 48,699

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Solution

The third proportional to 40,198 and 48,699 is: 58,997.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,198 : 48,699 = 48,699 : x
  2. Step 2: Convert to fraction form
    40,198/48,699 = 48,699/x
  3. Step 3: Cross multiply
    40,198x = 48,699 × 48,699
  4. Step 4: Simplify right side
    40,198x = 2,371,592,601
  5. Step 5: Solve for x
    x = 2,371,592,601/40,198
  6. Step 6: Final answer
    x = 58,997.78

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.