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Finding the Third Proportional to 22,664 and 49,859

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Solution

The third proportional to 22,664 and 49,859 is: 109,685.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,664 : 49,859 = 49,859 : x
  2. Step 2: Convert to fraction form
    22,664/49,859 = 49,859/x
  3. Step 3: Cross multiply
    22,664x = 49,859 × 49,859
  4. Step 4: Simplify right side
    22,664x = 2,485,919,881
  5. Step 5: Solve for x
    x = 2,485,919,881/22,664
  6. Step 6: Final answer
    x = 109,685.84

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.