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Finding the Third Proportional to 22,718 and 48,181

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Solution

The third proportional to 22,718 and 48,181 is: 102,183.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,718 : 48,181 = 48,181 : x
  2. Step 2: Convert to fraction form
    22,718/48,181 = 48,181/x
  3. Step 3: Cross multiply
    22,718x = 48,181 × 48,181
  4. Step 4: Simplify right side
    22,718x = 2,321,408,761
  5. Step 5: Solve for x
    x = 2,321,408,761/22,718
  6. Step 6: Final answer
    x = 102,183.68

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.