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Finding the Third Proportional to 26,474 and 63,197

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Solution

The third proportional to 26,474 and 63,197 is: 150,859.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,474 : 63,197 = 63,197 : x
  2. Step 2: Convert to fraction form
    26,474/63,197 = 63,197/x
  3. Step 3: Cross multiply
    26,474x = 63,197 × 63,197
  4. Step 4: Simplify right side
    26,474x = 3,993,860,809
  5. Step 5: Solve for x
    x = 3,993,860,809/26,474
  6. Step 6: Final answer
    x = 150,859.74

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.