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Finding the Third Proportional to 16,876 and 36,086

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Solution

The third proportional to 16,876 and 36,086 is: 77,162.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,876 : 36,086 = 36,086 : x
  2. Step 2: Convert to fraction form
    16,876/36,086 = 36,086/x
  3. Step 3: Cross multiply
    16,876x = 36,086 × 36,086
  4. Step 4: Simplify right side
    16,876x = 1,302,199,396
  5. Step 5: Solve for x
    x = 1,302,199,396/16,876
  6. Step 6: Final answer
    x = 77,162.80

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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.