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Finding the Third Proportional to 6,474 and 13,980

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Solution

The third proportional to 6,474 and 13,980 is: 30,188.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,474 : 13,980 = 13,980 : x
  2. Step 2: Convert to fraction form
    6,474/13,980 = 13,980/x
  3. Step 3: Cross multiply
    6,474x = 13,980 × 13,980
  4. Step 4: Simplify right side
    6,474x = 195,440,400
  5. Step 5: Solve for x
    x = 195,440,400/6,474
  6. Step 6: Final answer
    x = 30,188.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.