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Finding the Third Proportional to 18,832 and 40,166

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Solution

The third proportional to 18,832 and 40,166 is: 85,668.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,832 : 40,166 = 40,166 : x
  2. Step 2: Convert to fraction form
    18,832/40,166 = 40,166/x
  3. Step 3: Cross multiply
    18,832x = 40,166 × 40,166
  4. Step 4: Simplify right side
    18,832x = 1,613,307,556
  5. Step 5: Solve for x
    x = 1,613,307,556/18,832
  6. Step 6: Final answer
    x = 85,668.41

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.