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Finding the Third Proportional to 26,620 and 57,962

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Solution

The third proportional to 26,620 and 57,962 is: 126,205.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,620 : 57,962 = 57,962 : x
  2. Step 2: Convert to fraction form
    26,620/57,962 = 57,962/x
  3. Step 3: Cross multiply
    26,620x = 57,962 × 57,962
  4. Step 4: Simplify right side
    26,620x = 3,359,593,444
  5. Step 5: Solve for x
    x = 3,359,593,444/26,620
  6. Step 6: Final answer
    x = 126,205.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.