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Finding the Third Proportional to 22,631 and 49,151

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Solution

The third proportional to 22,631 and 49,151 is: 106,748.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,631 : 49,151 = 49,151 : x
  2. Step 2: Convert to fraction form
    22,631/49,151 = 49,151/x
  3. Step 3: Cross multiply
    22,631x = 49,151 × 49,151
  4. Step 4: Simplify right side
    22,631x = 2,415,820,801
  5. Step 5: Solve for x
    x = 2,415,820,801/22,631
  6. Step 6: Final answer
    x = 106,748.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.