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Finding the Third Proportional to 36,793 and 56,957

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Solution

The third proportional to 36,793 and 56,957 is: 88,171.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,793 : 56,957 = 56,957 : x
  2. Step 2: Convert to fraction form
    36,793/56,957 = 56,957/x
  3. Step 3: Cross multiply
    36,793x = 56,957 × 56,957
  4. Step 4: Simplify right side
    36,793x = 3,244,099,849
  5. Step 5: Solve for x
    x = 3,244,099,849/36,793
  6. Step 6: Final answer
    x = 88,171.66

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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.