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Finding the Third Proportional to 7,856 and 18,016

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Solution

The third proportional to 7,856 and 18,016 is: 41,315.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,856 : 18,016 = 18,016 : x
  2. Step 2: Convert to fraction form
    7,856/18,016 = 18,016/x
  3. Step 3: Cross multiply
    7,856x = 18,016 × 18,016
  4. Step 4: Simplify right side
    7,856x = 324,576,256
  5. Step 5: Solve for x
    x = 324,576,256/7,856
  6. Step 6: Final answer
    x = 41,315.71

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Why These Related Problems?

These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.