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Finding the Third Proportional to 14,204 and 20,868

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Solution

The third proportional to 14,204 and 20,868 is: 30,658.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,204 : 20,868 = 20,868 : x
  2. Step 2: Convert to fraction form
    14,204/20,868 = 20,868/x
  3. Step 3: Cross multiply
    14,204x = 20,868 × 20,868
  4. Step 4: Simplify right side
    14,204x = 435,473,424
  5. Step 5: Solve for x
    x = 435,473,424/14,204
  6. Step 6: Final answer
    x = 30,658.51

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.