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Finding the Third Proportional to 22,857.19 and 49,982.06

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Solution

The third proportional to 22,857.19 and 49,982.06 is: 109,296.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,857.19 : 49,982.06 = 49,982.06 : x
  2. Step 2: Convert to fraction form
    22,857.19/49,982.06 = 49,982.06/x
  3. Step 3: Cross multiply
    22,857.19x = 49,982.06 × 49,982.06
  4. Step 4: Simplify right side
    22,857.19x = 2,498,206,571.75
  5. Step 5: Solve for x
    x = 2,498,206,571.75/22,857.19
  6. Step 6: Final answer
    x = 109,296.32

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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.