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Finding the Third Proportional to 5,230 and 8,162

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Solution

The third proportional to 5,230 and 8,162 is: 12,737.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,230 : 8,162 = 8,162 : x
  2. Step 2: Convert to fraction form
    5,230/8,162 = 8,162/x
  3. Step 3: Cross multiply
    5,230x = 8,162 × 8,162
  4. Step 4: Simplify right side
    5,230x = 66,618,244
  5. Step 5: Solve for x
    x = 66,618,244/5,230
  6. Step 6: Final answer
    x = 12,737.71

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.