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Finding the Third Proportional to 40,334 and 64,067

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Solution

The third proportional to 40,334 and 64,067 is: 101,764.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,334 : 64,067 = 64,067 : x
  2. Step 2: Convert to fraction form
    40,334/64,067 = 64,067/x
  3. Step 3: Cross multiply
    40,334x = 64,067 × 64,067
  4. Step 4: Simplify right side
    40,334x = 4,104,580,489
  5. Step 5: Solve for x
    x = 4,104,580,489/40,334
  6. Step 6: Final answer
    x = 101,764.78

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.