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Finding the Third Proportional to 22,923 and 49,961.81

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Solution

The third proportional to 22,923 and 49,961.81 is: 108,894.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,923 : 49,961.81 = 49,961.81 : x
  2. Step 2: Convert to fraction form
    22,923/49,961.81 = 49,961.81/x
  3. Step 3: Cross multiply
    22,923x = 49,961.81 × 49,961.81
  4. Step 4: Simplify right side
    22,923x = 2,496,182,708.29
  5. Step 5: Solve for x
    x = 2,496,182,708.29/22,923
  6. Step 6: Final answer
    x = 108,894.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.