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Finding the Third Proportional to 6,180 and 9,384

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Solution

The third proportional to 6,180 and 9,384 is: 14,249.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,180 : 9,384 = 9,384 : x
  2. Step 2: Convert to fraction form
    6,180/9,384 = 9,384/x
  3. Step 3: Cross multiply
    6,180x = 9,384 × 9,384
  4. Step 4: Simplify right side
    6,180x = 88,059,456
  5. Step 5: Solve for x
    x = 88,059,456/6,180
  6. Step 6: Final answer
    x = 14,249.10

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.