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Finding the Third Proportional to 36,794 and 56,958.50

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Solution

The third proportional to 36,794 and 56,958.50 is: 88,173.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,794 : 56,958.50 = 56,958.50 : x
  2. Step 2: Convert to fraction form
    36,794/56,958.50 = 56,958.50/x
  3. Step 3: Cross multiply
    36,794x = 56,958.50 × 56,958.50
  4. Step 4: Simplify right side
    36,794x = 3,244,270,722.25
  5. Step 5: Solve for x
    x = 3,244,270,722.25/36,794
  6. Step 6: Final answer
    x = 88,173.91

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