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Finding the Third Proportional to 4,208.84 and 6,837.22

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Solution

The third proportional to 4,208.84 and 6,837.22 is: 11,107.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,208.84 : 6,837.22 = 6,837.22 : x
  2. Step 2: Convert to fraction form
    4,208.84/6,837.22 = 6,837.22/x
  3. Step 3: Cross multiply
    4,208.84x = 6,837.22 × 6,837.22
  4. Step 4: Simplify right side
    4,208.84x = 46,747,613.65
  5. Step 5: Solve for x
    x = 46,747,613.65/4,208.84
  6. Step 6: Final answer
    x = 11,107.02

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.