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Finding the Third Proportional to 36,098 and 49,177

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Solution

The third proportional to 36,098 and 49,177 is: 66,994.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,098 : 49,177 = 49,177 : x
  2. Step 2: Convert to fraction form
    36,098/49,177 = 49,177/x
  3. Step 3: Cross multiply
    36,098x = 49,177 × 49,177
  4. Step 4: Simplify right side
    36,098x = 2,418,377,329
  5. Step 5: Solve for x
    x = 2,418,377,329/36,098
  6. Step 6: Final answer
    x = 66,994.77

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.