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Finding the Third Proportional to 22,647 and 49,667

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Solution

The third proportional to 22,647 and 49,667 is: 108,924.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,647 : 49,667 = 49,667 : x
  2. Step 2: Convert to fraction form
    22,647/49,667 = 49,667/x
  3. Step 3: Cross multiply
    22,647x = 49,667 × 49,667
  4. Step 4: Simplify right side
    22,647x = 2,466,810,889
  5. Step 5: Solve for x
    x = 2,466,810,889/22,647
  6. Step 6: Final answer
    x = 108,924.40

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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.