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Finding the Third Proportional to 5,843.25 and 9,074.25

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Solution

The third proportional to 5,843.25 and 9,074.25 is: 14,091.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,843.25 : 9,074.25 = 9,074.25 : x
  2. Step 2: Convert to fraction form
    5,843.25/9,074.25 = 9,074.25/x
  3. Step 3: Cross multiply
    5,843.25x = 9,074.25 × 9,074.25
  4. Step 4: Simplify right side
    5,843.25x = 82,342,013.06
  5. Step 5: Solve for x
    x = 82,342,013.06/5,843.25
  6. Step 6: Final answer
    x = 14,091.82

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.