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Finding the Third Proportional to 36,419 and 49,204

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Solution

The third proportional to 36,419 and 49,204 is: 66,477.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,419 : 49,204 = 49,204 : x
  2. Step 2: Convert to fraction form
    36,419/49,204 = 49,204/x
  3. Step 3: Cross multiply
    36,419x = 49,204 × 49,204
  4. Step 4: Simplify right side
    36,419x = 2,421,033,616
  5. Step 5: Solve for x
    x = 2,421,033,616/36,419
  6. Step 6: Final answer
    x = 66,477.21

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.