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Finding the Third Proportional to 8,010 and 16,244

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Solution

The third proportional to 8,010 and 16,244 is: 32,942.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,010 : 16,244 = 16,244 : x
  2. Step 2: Convert to fraction form
    8,010/16,244 = 16,244/x
  3. Step 3: Cross multiply
    8,010x = 16,244 × 16,244
  4. Step 4: Simplify right side
    8,010x = 263,867,536
  5. Step 5: Solve for x
    x = 263,867,536/8,010
  6. Step 6: Final answer
    x = 32,942.26

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.