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Finding the Third Proportional to 26,667 and 35,667

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Solution

The third proportional to 26,667 and 35,667 is: 47,704.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,667 : 35,667 = 35,667 : x
  2. Step 2: Convert to fraction form
    26,667/35,667 = 35,667/x
  3. Step 3: Cross multiply
    26,667x = 35,667 × 35,667
  4. Step 4: Simplify right side
    26,667x = 1,272,134,889
  5. Step 5: Solve for x
    x = 1,272,134,889/26,667
  6. Step 6: Final answer
    x = 47,704.46

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.