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Finding the Third Proportional to 6,040.69 and 9,241.31

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Solution

The third proportional to 6,040.69 and 9,241.31 is: 14,137.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,040.69 : 9,241.31 = 9,241.31 : x
  2. Step 2: Convert to fraction form
    6,040.69/9,241.31 = 9,241.31/x
  3. Step 3: Cross multiply
    6,040.69x = 9,241.31 × 9,241.31
  4. Step 4: Simplify right side
    6,040.69x = 85,401,856.72
  5. Step 5: Solve for x
    x = 85,401,856.72/6,040.69
  6. Step 6: Final answer
    x = 14,137.77

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.