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Finding the Third Proportional to 4,072 and 8,771

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Solution

The third proportional to 4,072 and 8,771 is: 18,892.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,072 : 8,771 = 8,771 : x
  2. Step 2: Convert to fraction form
    4,072/8,771 = 8,771/x
  3. Step 3: Cross multiply
    4,072x = 8,771 × 8,771
  4. Step 4: Simplify right side
    4,072x = 76,930,441
  5. Step 5: Solve for x
    x = 76,930,441/4,072
  6. Step 6: Final answer
    x = 18,892.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.