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Finding the Third Proportional to 3,840 and 8,325

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Solution

The third proportional to 3,840 and 8,325 is: 18,048.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,840 : 8,325 = 8,325 : x
  2. Step 2: Convert to fraction form
    3,840/8,325 = 8,325/x
  3. Step 3: Cross multiply
    3,840x = 8,325 × 8,325
  4. Step 4: Simplify right side
    3,840x = 69,305,625
  5. Step 5: Solve for x
    x = 69,305,625/3,840
  6. Step 6: Final answer
    x = 18,048.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.