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Finding the Third Proportional to 23,246.75 and 50,183

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Solution

The third proportional to 23,246.75 and 50,183 is: 108,330.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,246.75 : 50,183 = 50,183 : x
  2. Step 2: Convert to fraction form
    23,246.75/50,183 = 50,183/x
  3. Step 3: Cross multiply
    23,246.75x = 50,183 × 50,183
  4. Step 4: Simplify right side
    23,246.75x = 2,518,333,489
  5. Step 5: Solve for x
    x = 2,518,333,489/23,246.75
  6. Step 6: Final answer
    x = 108,330.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.