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Finding the Third Proportional to 22,860 and 50,104

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Solution

The third proportional to 22,860 and 50,104 is: 109,816.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,860 : 50,104 = 50,104 : x
  2. Step 2: Convert to fraction form
    22,860/50,104 = 50,104/x
  3. Step 3: Cross multiply
    22,860x = 50,104 × 50,104
  4. Step 4: Simplify right side
    22,860x = 2,510,410,816
  5. Step 5: Solve for x
    x = 2,510,410,816/22,860
  6. Step 6: Final answer
    x = 109,816.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.