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Finding the Third Proportional to 8,012.25 and 11,279.25

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Solution

The third proportional to 8,012.25 and 11,279.25 is: 15,878.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,012.25 : 11,279.25 = 11,279.25 : x
  2. Step 2: Convert to fraction form
    8,012.25/11,279.25 = 11,279.25/x
  3. Step 3: Cross multiply
    8,012.25x = 11,279.25 × 11,279.25
  4. Step 4: Simplify right side
    8,012.25x = 127,221,480.56
  5. Step 5: Solve for x
    x = 127,221,480.56/8,012.25
  6. Step 6: Final answer
    x = 15,878.37

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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.