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Finding the Third Proportional to 26,667 and 56,614

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Solution

The third proportional to 26,667 and 56,614 is: 120,191.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,667 : 56,614 = 56,614 : x
  2. Step 2: Convert to fraction form
    26,667/56,614 = 56,614/x
  3. Step 3: Cross multiply
    26,667x = 56,614 × 56,614
  4. Step 4: Simplify right side
    26,667x = 3,205,144,996
  5. Step 5: Solve for x
    x = 3,205,144,996/26,667
  6. Step 6: Final answer
    x = 120,191.43

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.