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Finding the Third Proportional to 36,100 and 57,606

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Solution

The third proportional to 36,100 and 57,606 is: 91,923.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,100 : 57,606 = 57,606 : x
  2. Step 2: Convert to fraction form
    36,100/57,606 = 57,606/x
  3. Step 3: Cross multiply
    36,100x = 57,606 × 57,606
  4. Step 4: Simplify right side
    36,100x = 3,318,451,236
  5. Step 5: Solve for x
    x = 3,318,451,236/36,100
  6. Step 6: Final answer
    x = 91,923.86

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.