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Finding the Third Proportional to 24,831 and 34,734

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Solution

The third proportional to 24,831 and 34,734 is: 48,586.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,831 : 34,734 = 34,734 : x
  2. Step 2: Convert to fraction form
    24,831/34,734 = 34,734/x
  3. Step 3: Cross multiply
    24,831x = 34,734 × 34,734
  4. Step 4: Simplify right side
    24,831x = 1,206,450,756
  5. Step 5: Solve for x
    x = 1,206,450,756/24,831
  6. Step 6: Final answer
    x = 48,586.47

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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.