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Finding the Third Proportional to 6,940.69 and 12,241.13

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Solution

The third proportional to 6,940.69 and 12,241.13 is: 21,589.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,940.69 : 12,241.13 = 12,241.13 : x
  2. Step 2: Convert to fraction form
    6,940.69/12,241.13 = 12,241.13/x
  3. Step 3: Cross multiply
    6,940.69x = 12,241.13 × 12,241.13
  4. Step 4: Simplify right side
    6,940.69x = 149,845,141.27
  5. Step 5: Solve for x
    x = 149,845,141.27/6,940.69
  6. Step 6: Final answer
    x = 21,589.38

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.