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Finding the Third Proportional to 40,393 and 62,003

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Solution

The third proportional to 40,393 and 62,003 is: 95,174.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,393 : 62,003 = 62,003 : x
  2. Step 2: Convert to fraction form
    40,393/62,003 = 62,003/x
  3. Step 3: Cross multiply
    40,393x = 62,003 × 62,003
  4. Step 4: Simplify right side
    40,393x = 3,844,372,009
  5. Step 5: Solve for x
    x = 3,844,372,009/40,393
  6. Step 6: Final answer
    x = 95,174.21

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.