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Finding the Third Proportional to 4,425 and 8,967

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Solution

The third proportional to 4,425 and 8,967 is: 18,171.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,425 : 8,967 = 8,967 : x
  2. Step 2: Convert to fraction form
    4,425/8,967 = 8,967/x
  3. Step 3: Cross multiply
    4,425x = 8,967 × 8,967
  4. Step 4: Simplify right side
    4,425x = 80,407,089
  5. Step 5: Solve for x
    x = 80,407,089/4,425
  6. Step 6: Final answer
    x = 18,171.09

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.