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Finding the Third Proportional to 8,135.44 and 12,150

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Solution

The third proportional to 8,135.44 and 12,150 is: 18,145.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,135.44 : 12,150 = 12,150 : x
  2. Step 2: Convert to fraction form
    8,135.44/12,150 = 12,150/x
  3. Step 3: Cross multiply
    8,135.44x = 12,150 × 12,150
  4. Step 4: Simplify right side
    8,135.44x = 147,622,500
  5. Step 5: Solve for x
    x = 147,622,500/8,135.44
  6. Step 6: Final answer
    x = 18,145.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.