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Finding the Third Proportional to 8,144.30 and 11,140.03

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Solution

The third proportional to 8,144.30 and 11,140.03 is: 15,237.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,144.30 : 11,140.03 = 11,140.03 : x
  2. Step 2: Convert to fraction form
    8,144.30/11,140.03 = 11,140.03/x
  3. Step 3: Cross multiply
    8,144.30x = 11,140.03 × 11,140.03
  4. Step 4: Simplify right side
    8,144.30x = 124,100,296.25
  5. Step 5: Solve for x
    x = 124,100,296.25/8,144.30
  6. Step 6: Final answer
    x = 15,237.69

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.