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Finding the Third Proportional to 4,241.53 and 8,596.97

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Solution

The third proportional to 4,241.53 and 8,596.97 is: 17,424.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,241.53 : 8,596.97 = 8,596.97 : x
  2. Step 2: Convert to fraction form
    4,241.53/8,596.97 = 8,596.97/x
  3. Step 3: Cross multiply
    4,241.53x = 8,596.97 × 8,596.97
  4. Step 4: Simplify right side
    4,241.53x = 73,907,871.69
  5. Step 5: Solve for x
    x = 73,907,871.69/4,241.53
  6. Step 6: Final answer
    x = 17,424.81

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.