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Finding the Third Proportional to 16,817 and 36,049

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Solution

The third proportional to 16,817 and 36,049 is: 77,274.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,817 : 36,049 = 36,049 : x
  2. Step 2: Convert to fraction form
    16,817/36,049 = 36,049/x
  3. Step 3: Cross multiply
    16,817x = 36,049 × 36,049
  4. Step 4: Simplify right side
    16,817x = 1,299,530,401
  5. Step 5: Solve for x
    x = 1,299,530,401/16,817
  6. Step 6: Final answer
    x = 77,274.81

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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.