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Finding the Third Proportional to 8,144.30 and 12,279.09

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Solution

The third proportional to 8,144.30 and 12,279.09 is: 18,513.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,144.30 : 12,279.09 = 12,279.09 : x
  2. Step 2: Convert to fraction form
    8,144.30/12,279.09 = 12,279.09/x
  3. Step 3: Cross multiply
    8,144.30x = 12,279.09 × 12,279.09
  4. Step 4: Simplify right side
    8,144.30x = 150,776,143.32
  5. Step 5: Solve for x
    x = 150,776,143.32/8,144.30
  6. Step 6: Final answer
    x = 18,513.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.