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Finding the Third Proportional to 4,040.72 and 6,241.22

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Solution

The third proportional to 4,040.72 and 6,241.22 is: 9,640.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,040.72 : 6,241.22 = 6,241.22 : x
  2. Step 2: Convert to fraction form
    4,040.72/6,241.22 = 6,241.22/x
  3. Step 3: Cross multiply
    4,040.72x = 6,241.22 × 6,241.22
  4. Step 4: Simplify right side
    4,040.72x = 38,952,811.49
  5. Step 5: Solve for x
    x = 38,952,811.49/4,040.72
  6. Step 6: Final answer
    x = 9,640.07

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.