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Finding the Third Proportional to 31,986 and 44,728

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Solution

The third proportional to 31,986 and 44,728 is: 62,545.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,986 : 44,728 = 44,728 : x
  2. Step 2: Convert to fraction form
    31,986/44,728 = 44,728/x
  3. Step 3: Cross multiply
    31,986x = 44,728 × 44,728
  4. Step 4: Simplify right side
    31,986x = 2,000,593,984
  5. Step 5: Solve for x
    x = 2,000,593,984/31,986
  6. Step 6: Final answer
    x = 62,545.93

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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.