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Finding the Third Proportional to 36,174 and 54,771

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Solution

The third proportional to 36,174 and 54,771 is: 82,928.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,174 : 54,771 = 54,771 : x
  2. Step 2: Convert to fraction form
    36,174/54,771 = 54,771/x
  3. Step 3: Cross multiply
    36,174x = 54,771 × 54,771
  4. Step 4: Simplify right side
    36,174x = 2,999,862,441
  5. Step 5: Solve for x
    x = 2,999,862,441/36,174
  6. Step 6: Final answer
    x = 82,928.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.