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Finding the Third Proportional to 6,298 and 13,832

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Solution

The third proportional to 6,298 and 13,832 is: 30,378.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,298 : 13,832 = 13,832 : x
  2. Step 2: Convert to fraction form
    6,298/13,832 = 13,832/x
  3. Step 3: Cross multiply
    6,298x = 13,832 × 13,832
  4. Step 4: Simplify right side
    6,298x = 191,324,224
  5. Step 5: Solve for x
    x = 191,324,224/6,298
  6. Step 6: Final answer
    x = 30,378.57

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.