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Finding the Third Proportional to 7,016 and 8,231

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Solution

The third proportional to 7,016 and 8,231 is: 9,656.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,016 : 8,231 = 8,231 : x
  2. Step 2: Convert to fraction form
    7,016/8,231 = 8,231/x
  3. Step 3: Cross multiply
    7,016x = 8,231 × 8,231
  4. Step 4: Simplify right side
    7,016x = 67,749,361
  5. Step 5: Solve for x
    x = 67,749,361/7,016
  6. Step 6: Final answer
    x = 9,656.41

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.