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Finding the Third Proportional to 49,325 and 69,794

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Solution

The third proportional to 49,325 and 69,794 is: 98,757.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,325 : 69,794 = 69,794 : x
  2. Step 2: Convert to fraction form
    49,325/69,794 = 69,794/x
  3. Step 3: Cross multiply
    49,325x = 69,794 × 69,794
  4. Step 4: Simplify right side
    49,325x = 4,871,202,436
  5. Step 5: Solve for x
    x = 4,871,202,436/49,325
  6. Step 6: Final answer
    x = 98,757.27

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.