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Finding the Third Proportional to 6,384 and 15,285

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Solution

The third proportional to 6,384 and 15,285 is: 36,596.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,384 : 15,285 = 15,285 : x
  2. Step 2: Convert to fraction form
    6,384/15,285 = 15,285/x
  3. Step 3: Cross multiply
    6,384x = 15,285 × 15,285
  4. Step 4: Simplify right side
    6,384x = 233,631,225
  5. Step 5: Solve for x
    x = 233,631,225/6,384
  6. Step 6: Final answer
    x = 36,596.37

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.