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Finding the Third Proportional to 22,716 and 48,177

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Solution

The third proportional to 22,716 and 48,177 is: 102,175.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,716 : 48,177 = 48,177 : x
  2. Step 2: Convert to fraction form
    22,716/48,177 = 48,177/x
  3. Step 3: Cross multiply
    22,716x = 48,177 × 48,177
  4. Step 4: Simplify right side
    22,716x = 2,321,023,329
  5. Step 5: Solve for x
    x = 2,321,023,329/22,716
  6. Step 6: Final answer
    x = 102,175.71

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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.