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Finding the Third Proportional to 31,981 and 44,734

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Solution

The third proportional to 31,981 and 44,734 is: 62,572.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,981 : 44,734 = 44,734 : x
  2. Step 2: Convert to fraction form
    31,981/44,734 = 44,734/x
  3. Step 3: Cross multiply
    31,981x = 44,734 × 44,734
  4. Step 4: Simplify right side
    31,981x = 2,001,130,756
  5. Step 5: Solve for x
    x = 2,001,130,756/31,981
  6. Step 6: Final answer
    x = 62,572.49

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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.