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Finding the Third Proportional to 22,783 and 49,189

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Solution

The third proportional to 22,783 and 49,189 is: 106,200.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,783 : 49,189 = 49,189 : x
  2. Step 2: Convert to fraction form
    22,783/49,189 = 49,189/x
  3. Step 3: Cross multiply
    22,783x = 49,189 × 49,189
  4. Step 4: Simplify right side
    22,783x = 2,419,557,721
  5. Step 5: Solve for x
    x = 2,419,557,721/22,783
  6. Step 6: Final answer
    x = 106,200.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.