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Finding the Third Proportional to 22,764 and 49,899

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Solution

The third proportional to 22,764 and 49,899 is: 109,379.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,764 : 49,899 = 49,899 : x
  2. Step 2: Convert to fraction form
    22,764/49,899 = 49,899/x
  3. Step 3: Cross multiply
    22,764x = 49,899 × 49,899
  4. Step 4: Simplify right side
    22,764x = 2,489,910,201
  5. Step 5: Solve for x
    x = 2,489,910,201/22,764
  6. Step 6: Final answer
    x = 109,379.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.