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Finding the Third Proportional to 18,066 and 38,616

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Solution

The third proportional to 18,066 and 38,616 is: 82,541.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,066 : 38,616 = 38,616 : x
  2. Step 2: Convert to fraction form
    18,066/38,616 = 38,616/x
  3. Step 3: Cross multiply
    18,066x = 38,616 × 38,616
  4. Step 4: Simplify right side
    18,066x = 1,491,195,456
  5. Step 5: Solve for x
    x = 1,491,195,456/18,066
  6. Step 6: Final answer
    x = 82,541.54

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.