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Finding the Third Proportional to 6,285 and 13,719.75

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Solution

The third proportional to 6,285 and 13,719.75 is: 29,949.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,285 : 13,719.75 = 13,719.75 : x
  2. Step 2: Convert to fraction form
    6,285/13,719.75 = 13,719.75/x
  3. Step 3: Cross multiply
    6,285x = 13,719.75 × 13,719.75
  4. Step 4: Simplify right side
    6,285x = 188,231,540.06
  5. Step 5: Solve for x
    x = 188,231,540.06/6,285
  6. Step 6: Final answer
    x = 29,949.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.