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Finding the Third Proportional to 3,241.27 and 7,164.07

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Solution

The third proportional to 3,241.27 and 7,164.07 is: 15,834.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,241.27 : 7,164.07 = 7,164.07 : x
  2. Step 2: Convert to fraction form
    3,241.27/7,164.07 = 7,164.07/x
  3. Step 3: Cross multiply
    3,241.27x = 7,164.07 × 7,164.07
  4. Step 4: Simplify right side
    3,241.27x = 51,323,903.44
  5. Step 5: Solve for x
    x = 51,323,903.44/3,241.27
  6. Step 6: Final answer
    x = 15,834.53

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.