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Finding the Third Proportional to 13,137 and 29,193

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Solution

The third proportional to 13,137 and 29,193 is: 64,872.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,137 : 29,193 = 29,193 : x
  2. Step 2: Convert to fraction form
    13,137/29,193 = 29,193/x
  3. Step 3: Cross multiply
    13,137x = 29,193 × 29,193
  4. Step 4: Simplify right side
    13,137x = 852,231,249
  5. Step 5: Solve for x
    x = 852,231,249/13,137
  6. Step 6: Final answer
    x = 64,872.59

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.