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Finding the Third Proportional to 8,048.25 and 12,311.44

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Solution

The third proportional to 8,048.25 and 12,311.44 is: 18,832.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,048.25 : 12,311.44 = 12,311.44 : x
  2. Step 2: Convert to fraction form
    8,048.25/12,311.44 = 12,311.44/x
  3. Step 3: Cross multiply
    8,048.25x = 12,311.44 × 12,311.44
  4. Step 4: Simplify right side
    8,048.25x = 151,571,493.32
  5. Step 5: Solve for x
    x = 151,571,493.32/8,048.25
  6. Step 6: Final answer
    x = 18,832.85

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.