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Finding the Third Proportional to 6,135.28 and 9,194.37

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Solution

The third proportional to 6,135.28 and 9,194.37 is: 13,778.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,135.28 : 9,194.37 = 9,194.37 : x
  2. Step 2: Convert to fraction form
    6,135.28/9,194.37 = 9,194.37/x
  3. Step 3: Cross multiply
    6,135.28x = 9,194.37 × 9,194.37
  4. Step 4: Simplify right side
    6,135.28x = 84,536,441.85
  5. Step 5: Solve for x
    x = 84,536,441.85/6,135.28
  6. Step 6: Final answer
    x = 13,778.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.