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Finding the Third Proportional to 6,086 and 14,351

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Solution

The third proportional to 6,086 and 14,351 is: 33,840.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,086 : 14,351 = 14,351 : x
  2. Step 2: Convert to fraction form
    6,086/14,351 = 14,351/x
  3. Step 3: Cross multiply
    6,086x = 14,351 × 14,351
  4. Step 4: Simplify right side
    6,086x = 205,951,201
  5. Step 5: Solve for x
    x = 205,951,201/6,086
  6. Step 6: Final answer
    x = 33,840.16

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.