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Finding the Third Proportional to 8,000 and 14,016

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Solution

The third proportional to 8,000 and 14,016 is: 24,556.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,000 : 14,016 = 14,016 : x
  2. Step 2: Convert to fraction form
    8,000/14,016 = 14,016/x
  3. Step 3: Cross multiply
    8,000x = 14,016 × 14,016
  4. Step 4: Simplify right side
    8,000x = 196,448,256
  5. Step 5: Solve for x
    x = 196,448,256/8,000
  6. Step 6: Final answer
    x = 24,556.03

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Why These Related Problems?

These problems maintain the same ratio (1.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.