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Finding the Third Proportional to 8,299.13 and 11,559.38

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Solution

The third proportional to 8,299.13 and 11,559.38 is: 16,100.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,299.13 : 11,559.38 = 11,559.38 : x
  2. Step 2: Convert to fraction form
    8,299.13/11,559.38 = 11,559.38/x
  3. Step 3: Cross multiply
    8,299.13x = 11,559.38 × 11,559.38
  4. Step 4: Simplify right side
    8,299.13x = 133,619,150.39
  5. Step 5: Solve for x
    x = 133,619,150.39/8,299.13
  6. Step 6: Final answer
    x = 16,100.39

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.