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Finding the Third Proportional to 22,667 and 48,611

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Solution

The third proportional to 22,667 and 48,611 is: 104,249.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,667 : 48,611 = 48,611 : x
  2. Step 2: Convert to fraction form
    22,667/48,611 = 48,611/x
  3. Step 3: Cross multiply
    22,667x = 48,611 × 48,611
  4. Step 4: Simplify right side
    22,667x = 2,363,029,321
  5. Step 5: Solve for x
    x = 2,363,029,321/22,667
  6. Step 6: Final answer
    x = 104,249.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.