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Finding the Third Proportional to 22,659 and 49,211

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Solution

The third proportional to 22,659 and 49,211 is: 106,876.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,659 : 49,211 = 49,211 : x
  2. Step 2: Convert to fraction form
    22,659/49,211 = 49,211/x
  3. Step 3: Cross multiply
    22,659x = 49,211 × 49,211
  4. Step 4: Simplify right side
    22,659x = 2,421,722,521
  5. Step 5: Solve for x
    x = 2,421,722,521/22,659
  6. Step 6: Final answer
    x = 106,876.85

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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.