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Finding the Third Proportional to 5,842.75 and 8,198.25

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Solution

The third proportional to 5,842.75 and 8,198.25 is: 11,503.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,842.75 : 8,198.25 = 8,198.25 : x
  2. Step 2: Convert to fraction form
    5,842.75/8,198.25 = 8,198.25/x
  3. Step 3: Cross multiply
    5,842.75x = 8,198.25 × 8,198.25
  4. Step 4: Simplify right side
    5,842.75x = 67,211,303.06
  5. Step 5: Solve for x
    x = 67,211,303.06/5,842.75
  6. Step 6: Final answer
    x = 11,503.37

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.