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Finding the Third Proportional to 29,493 and 43,794

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Solution

The third proportional to 29,493 and 43,794 is: 65,029.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,493 : 43,794 = 43,794 : x
  2. Step 2: Convert to fraction form
    29,493/43,794 = 43,794/x
  3. Step 3: Cross multiply
    29,493x = 43,794 × 43,794
  4. Step 4: Simplify right side
    29,493x = 1,917,914,436
  5. Step 5: Solve for x
    x = 1,917,914,436/29,493
  6. Step 6: Final answer
    x = 65,029.48

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.