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Finding the Third Proportional to 36,991 and 80,903

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Solution

The third proportional to 36,991 and 80,903 is: 176,942.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,991 : 80,903 = 80,903 : x
  2. Step 2: Convert to fraction form
    36,991/80,903 = 80,903/x
  3. Step 3: Cross multiply
    36,991x = 80,903 × 80,903
  4. Step 4: Simplify right side
    36,991x = 6,545,295,409
  5. Step 5: Solve for x
    x = 6,545,295,409/36,991
  6. Step 6: Final answer
    x = 176,942.92

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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.