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Finding the Third Proportional to 15,114 and 20,166

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Solution

The third proportional to 15,114 and 20,166 is: 26,906.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,114 : 20,166 = 20,166 : x
  2. Step 2: Convert to fraction form
    15,114/20,166 = 20,166/x
  3. Step 3: Cross multiply
    15,114x = 20,166 × 20,166
  4. Step 4: Simplify right side
    15,114x = 406,667,556
  5. Step 5: Solve for x
    x = 406,667,556/15,114
  6. Step 6: Final answer
    x = 26,906.68

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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.