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Finding the Third Proportional to 23,771 and 36,795

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Solution

The third proportional to 23,771 and 36,795 is: 56,954.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,771 : 36,795 = 36,795 : x
  2. Step 2: Convert to fraction form
    23,771/36,795 = 36,795/x
  3. Step 3: Cross multiply
    23,771x = 36,795 × 36,795
  4. Step 4: Simplify right side
    23,771x = 1,353,872,025
  5. Step 5: Solve for x
    x = 1,353,872,025/23,771
  6. Step 6: Final answer
    x = 56,954.78

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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.