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Finding the Third Proportional to 22,277 and 48,847

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Solution

The third proportional to 22,277 and 48,847 is: 107,107.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,277 : 48,847 = 48,847 : x
  2. Step 2: Convert to fraction form
    22,277/48,847 = 48,847/x
  3. Step 3: Cross multiply
    22,277x = 48,847 × 48,847
  4. Step 4: Simplify right side
    22,277x = 2,386,029,409
  5. Step 5: Solve for x
    x = 2,386,029,409/22,277
  6. Step 6: Final answer
    x = 107,107.30

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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.