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Finding the Third Proportional to 5,823.16 and 8,231.84

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Solution

The third proportional to 5,823.16 and 8,231.84 is: 11,636.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,823.16 : 8,231.84 = 8,231.84 : x
  2. Step 2: Convert to fraction form
    5,823.16/8,231.84 = 8,231.84/x
  3. Step 3: Cross multiply
    5,823.16x = 8,231.84 × 8,231.84
  4. Step 4: Simplify right side
    5,823.16x = 67,763,251.52
  5. Step 5: Solve for x
    x = 67,763,251.52/5,823.16
  6. Step 6: Final answer
    x = 11,636.86

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.