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Finding the Third Proportional to 22,838 and 49,815

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Solution

The third proportional to 22,838 and 49,815 is: 108,658.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,838 : 49,815 = 49,815 : x
  2. Step 2: Convert to fraction form
    22,838/49,815 = 49,815/x
  3. Step 3: Cross multiply
    22,838x = 49,815 × 49,815
  4. Step 4: Simplify right side
    22,838x = 2,481,534,225
  5. Step 5: Solve for x
    x = 2,481,534,225/22,838
  6. Step 6: Final answer
    x = 108,658.12

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.