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Finding the Third Proportional to 6,343 and 9,016

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Solution

The third proportional to 6,343 and 9,016 is: 12,815.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,343 : 9,016 = 9,016 : x
  2. Step 2: Convert to fraction form
    6,343/9,016 = 9,016/x
  3. Step 3: Cross multiply
    6,343x = 9,016 × 9,016
  4. Step 4: Simplify right side
    6,343x = 81,288,256
  5. Step 5: Solve for x
    x = 81,288,256/6,343
  6. Step 6: Final answer
    x = 12,815.43

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.