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Finding the Third Proportional to 4,000 and 8,567

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Solution

The third proportional to 4,000 and 8,567 is: 18,348.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,000 : 8,567 = 8,567 : x
  2. Step 2: Convert to fraction form
    4,000/8,567 = 8,567/x
  3. Step 3: Cross multiply
    4,000x = 8,567 × 8,567
  4. Step 4: Simplify right side
    4,000x = 73,393,489
  5. Step 5: Solve for x
    x = 73,393,489/4,000
  6. Step 6: Final answer
    x = 18,348.37

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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.