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Finding the Third Proportional to 49,350.75 and 72,183

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Solution

The third proportional to 49,350.75 and 72,183 is: 105,578.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,350.75 : 72,183 = 72,183 : x
  2. Step 2: Convert to fraction form
    49,350.75/72,183 = 72,183/x
  3. Step 3: Cross multiply
    49,350.75x = 72,183 × 72,183
  4. Step 4: Simplify right side
    49,350.75x = 5,210,385,489
  5. Step 5: Solve for x
    x = 5,210,385,489/49,350.75
  6. Step 6: Final answer
    x = 105,578.65

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.