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Finding the Third Proportional to 6,227.82 and 9,324.65

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Solution

The third proportional to 6,227.82 and 9,324.65 is: 13,961.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,227.82 : 9,324.65 = 9,324.65 : x
  2. Step 2: Convert to fraction form
    6,227.82/9,324.65 = 9,324.65/x
  3. Step 3: Cross multiply
    6,227.82x = 9,324.65 × 9,324.65
  4. Step 4: Simplify right side
    6,227.82x = 86,949,104.91
  5. Step 5: Solve for x
    x = 86,949,104.91/6,227.82
  6. Step 6: Final answer
    x = 13,961.39

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1.5x scale

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.