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Finding the Third Proportional to 31,997 and 45,039

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Solution

The third proportional to 31,997 and 45,039 is: 63,396.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,997 : 45,039 = 45,039 : x
  2. Step 2: Convert to fraction form
    31,997/45,039 = 45,039/x
  3. Step 3: Cross multiply
    31,997x = 45,039 × 45,039
  4. Step 4: Simplify right side
    31,997x = 2,028,511,521
  5. Step 5: Solve for x
    x = 2,028,511,521/31,997
  6. Step 6: Final answer
    x = 63,396.93

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.