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Finding the Third Proportional to 31,979 and 44,727

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Solution

The third proportional to 31,979 and 44,727 is: 62,556.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,979 : 44,727 = 44,727 : x
  2. Step 2: Convert to fraction form
    31,979/44,727 = 44,727/x
  3. Step 3: Cross multiply
    31,979x = 44,727 × 44,727
  4. Step 4: Simplify right side
    31,979x = 2,000,504,529
  5. Step 5: Solve for x
    x = 2,000,504,529/31,979
  6. Step 6: Final answer
    x = 62,556.82

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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.