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Finding the Third Proportional to 16,823 and 36,400

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Solution

The third proportional to 16,823 and 36,400 is: 78,758.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,823 : 36,400 = 36,400 : x
  2. Step 2: Convert to fraction form
    16,823/36,400 = 36,400/x
  3. Step 3: Cross multiply
    16,823x = 36,400 × 36,400
  4. Step 4: Simplify right side
    16,823x = 1,324,960,000
  5. Step 5: Solve for x
    x = 1,324,960,000/16,823
  6. Step 6: Final answer
    x = 78,758.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.