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Finding the Third Proportional to 22,611 and 49,389

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Solution

The third proportional to 22,611 and 49,389 is: 107,879.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,611 : 49,389 = 49,389 : x
  2. Step 2: Convert to fraction form
    22,611/49,389 = 49,389/x
  3. Step 3: Cross multiply
    22,611x = 49,389 × 49,389
  4. Step 4: Simplify right side
    22,611x = 2,439,273,321
  5. Step 5: Solve for x
    x = 2,439,273,321/22,611
  6. Step 6: Final answer
    x = 107,879.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.