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Finding the Third Proportional to 31,813 and 50,366

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Solution

The third proportional to 31,813 and 50,366 is: 79,738.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,813 : 50,366 = 50,366 : x
  2. Step 2: Convert to fraction form
    31,813/50,366 = 50,366/x
  3. Step 3: Cross multiply
    31,813x = 50,366 × 50,366
  4. Step 4: Simplify right side
    31,813x = 2,536,733,956
  5. Step 5: Solve for x
    x = 2,536,733,956/31,813
  6. Step 6: Final answer
    x = 79,738.91

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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.