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Finding the Third Proportional to 31,682 and 44,293

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Solution

The third proportional to 31,682 and 44,293 is: 61,923.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,682 : 44,293 = 44,293 : x
  2. Step 2: Convert to fraction form
    31,682/44,293 = 44,293/x
  3. Step 3: Cross multiply
    31,682x = 44,293 × 44,293
  4. Step 4: Simplify right side
    31,682x = 1,961,869,849
  5. Step 5: Solve for x
    x = 1,961,869,849/31,682
  6. Step 6: Final answer
    x = 61,923.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.