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Finding the Third Proportional to 5,583.94 and 8,170.88

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Solution

The third proportional to 5,583.94 and 8,170.88 is: 11,956.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,583.94 : 8,170.88 = 8,170.88 : x
  2. Step 2: Convert to fraction form
    5,583.94/8,170.88 = 8,170.88/x
  3. Step 3: Cross multiply
    5,583.94x = 8,170.88 × 8,170.88
  4. Step 4: Simplify right side
    5,583.94x = 66,763,198.27
  5. Step 5: Solve for x
    x = 66,763,198.27/5,583.94
  6. Step 6: Final answer
    x = 11,956.29

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.