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Finding the Third Proportional to 31,997 and 44,742

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Solution

The third proportional to 31,997 and 44,742 is: 62,563.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,997 : 44,742 = 44,742 : x
  2. Step 2: Convert to fraction form
    31,997/44,742 = 44,742/x
  3. Step 3: Cross multiply
    31,997x = 44,742 × 44,742
  4. Step 4: Simplify right side
    31,997x = 2,001,846,564
  5. Step 5: Solve for x
    x = 2,001,846,564/31,997
  6. Step 6: Final answer
    x = 62,563.57

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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.