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Finding the Third Proportional to 37,731 and 82,373

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Solution

The third proportional to 37,731 and 82,373 is: 179,833.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,731 : 82,373 = 82,373 : x
  2. Step 2: Convert to fraction form
    37,731/82,373 = 82,373/x
  3. Step 3: Cross multiply
    37,731x = 82,373 × 82,373
  4. Step 4: Simplify right side
    37,731x = 6,785,311,129
  5. Step 5: Solve for x
    x = 6,785,311,129/37,731
  6. Step 6: Final answer
    x = 179,833.85

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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.