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Finding the Third Proportional to 26,694 and 57,267

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Solution

The third proportional to 26,694 and 57,267 is: 122,855.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,694 : 57,267 = 57,267 : x
  2. Step 2: Convert to fraction form
    26,694/57,267 = 57,267/x
  3. Step 3: Cross multiply
    26,694x = 57,267 × 57,267
  4. Step 4: Simplify right side
    26,694x = 3,279,509,289
  5. Step 5: Solve for x
    x = 3,279,509,289/26,694
  6. Step 6: Final answer
    x = 122,855.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.