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Finding the Third Proportional to 32,183 and 49,734

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Solution

The third proportional to 32,183 and 49,734 is: 76,856.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,183 : 49,734 = 49,734 : x
  2. Step 2: Convert to fraction form
    32,183/49,734 = 49,734/x
  3. Step 3: Cross multiply
    32,183x = 49,734 × 49,734
  4. Step 4: Simplify right side
    32,183x = 2,473,470,756
  5. Step 5: Solve for x
    x = 2,473,470,756/32,183
  6. Step 6: Final answer
    x = 76,856.44

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.