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Finding the Third Proportional to 31,053 and 49,193

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Solution

The third proportional to 31,053 and 49,193 is: 77,929.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,053 : 49,193 = 49,193 : x
  2. Step 2: Convert to fraction form
    31,053/49,193 = 49,193/x
  3. Step 3: Cross multiply
    31,053x = 49,193 × 49,193
  4. Step 4: Simplify right side
    31,053x = 2,419,951,249
  5. Step 5: Solve for x
    x = 2,419,951,249/31,053
  6. Step 6: Final answer
    x = 77,929.71

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.