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Finding the Third Proportional to 4,121.25 and 6,091.31

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Solution

The third proportional to 4,121.25 and 6,091.31 is: 9,003.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,121.25 : 6,091.31 = 6,091.31 : x
  2. Step 2: Convert to fraction form
    4,121.25/6,091.31 = 6,091.31/x
  3. Step 3: Cross multiply
    4,121.25x = 6,091.31 × 6,091.31
  4. Step 4: Simplify right side
    4,121.25x = 37,104,087.97
  5. Step 5: Solve for x
    x = 37,104,087.97/4,121.25
  6. Step 6: Final answer
    x = 9,003.12

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.