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Finding the Third Proportional to 33,902 and 49,635

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Solution

The third proportional to 33,902 and 49,635 is: 72,669.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,902 : 49,635 = 49,635 : x
  2. Step 2: Convert to fraction form
    33,902/49,635 = 49,635/x
  3. Step 3: Cross multiply
    33,902x = 49,635 × 49,635
  4. Step 4: Simplify right side
    33,902x = 2,463,633,225
  5. Step 5: Solve for x
    x = 2,463,633,225/33,902
  6. Step 6: Final answer
    x = 72,669.26

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.