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Finding the Third Proportional to 36,991 and 57,213

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Solution

The third proportional to 36,991 and 57,213 is: 88,489.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,991 : 57,213 = 57,213 : x
  2. Step 2: Convert to fraction form
    36,991/57,213 = 57,213/x
  3. Step 3: Cross multiply
    36,991x = 57,213 × 57,213
  4. Step 4: Simplify right side
    36,991x = 3,273,327,369
  5. Step 5: Solve for x
    x = 3,273,327,369/36,991
  6. Step 6: Final answer
    x = 88,489.83

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.