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Finding the Third Proportional to 21,986 and 50,105

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Solution

The third proportional to 21,986 and 50,105 is: 114,186.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,986 : 50,105 = 50,105 : x
  2. Step 2: Convert to fraction form
    21,986/50,105 = 50,105/x
  3. Step 3: Cross multiply
    21,986x = 50,105 × 50,105
  4. Step 4: Simplify right side
    21,986x = 2,510,511,025
  5. Step 5: Solve for x
    x = 2,510,511,025/21,986
  6. Step 6: Final answer
    x = 114,186.80

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.