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Finding the Third Proportional to 3,241.69 and 5,464.97

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Solution

The third proportional to 3,241.69 and 5,464.97 is: 9,213.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,241.69 : 5,464.97 = 5,464.97 : x
  2. Step 2: Convert to fraction form
    3,241.69/5,464.97 = 5,464.97/x
  3. Step 3: Cross multiply
    3,241.69x = 5,464.97 × 5,464.97
  4. Step 4: Simplify right side
    3,241.69x = 29,865,883.44
  5. Step 5: Solve for x
    x = 29,865,883.44/3,241.69
  6. Step 6: Final answer
    x = 9,213.07

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Why These Related Problems?

These problems maintain the same ratio (1.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.