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Finding the Third Proportional to 6,285 and 13,771

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Solution

The third proportional to 6,285 and 13,771 is: 30,173.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,285 : 13,771 = 13,771 : x
  2. Step 2: Convert to fraction form
    6,285/13,771 = 13,771/x
  3. Step 3: Cross multiply
    6,285x = 13,771 × 13,771
  4. Step 4: Simplify right side
    6,285x = 189,640,441
  5. Step 5: Solve for x
    x = 189,640,441/6,285
  6. Step 6: Final answer
    x = 30,173.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.