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Finding the Third Proportional to 6,530 and 13,474

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Solution

The third proportional to 6,530 and 13,474 is: 27,802.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,530 : 13,474 = 13,474 : x
  2. Step 2: Convert to fraction form
    6,530/13,474 = 13,474/x
  3. Step 3: Cross multiply
    6,530x = 13,474 × 13,474
  4. Step 4: Simplify right side
    6,530x = 181,548,676
  5. Step 5: Solve for x
    x = 181,548,676/6,530
  6. Step 6: Final answer
    x = 27,802.25

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.