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Finding the Third Proportional to 6,933.94 and 9,265.22

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Solution

The third proportional to 6,933.94 and 9,265.22 is: 12,380.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,933.94 : 9,265.22 = 9,265.22 : x
  2. Step 2: Convert to fraction form
    6,933.94/9,265.22 = 9,265.22/x
  3. Step 3: Cross multiply
    6,933.94x = 9,265.22 × 9,265.22
  4. Step 4: Simplify right side
    6,933.94x = 85,844,278.49
  5. Step 5: Solve for x
    x = 85,844,278.49/6,933.94
  6. Step 6: Final answer
    x = 12,380.31

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.