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Finding the Third Proportional to 27,164 and 36,057

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Solution

The third proportional to 27,164 and 36,057 is: 47,861.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,164 : 36,057 = 36,057 : x
  2. Step 2: Convert to fraction form
    27,164/36,057 = 36,057/x
  3. Step 3: Cross multiply
    27,164x = 36,057 × 36,057
  4. Step 4: Simplify right side
    27,164x = 1,300,107,249
  5. Step 5: Solve for x
    x = 1,300,107,249/27,164
  6. Step 6: Final answer
    x = 47,861.41

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.