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Finding the Third Proportional to 30,667 and 43,393

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Solution

The third proportional to 30,667 and 43,393 is: 61,399.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,667 : 43,393 = 43,393 : x
  2. Step 2: Convert to fraction form
    30,667/43,393 = 43,393/x
  3. Step 3: Cross multiply
    30,667x = 43,393 × 43,393
  4. Step 4: Simplify right side
    30,667x = 1,882,952,449
  5. Step 5: Solve for x
    x = 1,882,952,449/30,667
  6. Step 6: Final answer
    x = 61,399.96

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.