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Finding the Third Proportional to 14,186 and 20,399

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Solution

The third proportional to 14,186 and 20,399 is: 29,333.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,186 : 20,399 = 20,399 : x
  2. Step 2: Convert to fraction form
    14,186/20,399 = 20,399/x
  3. Step 3: Cross multiply
    14,186x = 20,399 × 20,399
  4. Step 4: Simplify right side
    14,186x = 416,119,201
  5. Step 5: Solve for x
    x = 416,119,201/14,186
  6. Step 6: Final answer
    x = 29,333.09

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.