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Finding the Third Proportional to 4,556.25 and 5,982.75

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Solution

The third proportional to 4,556.25 and 5,982.75 is: 7,855.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,556.25 : 5,982.75 = 5,982.75 : x
  2. Step 2: Convert to fraction form
    4,556.25/5,982.75 = 5,982.75/x
  3. Step 3: Cross multiply
    4,556.25x = 5,982.75 × 5,982.75
  4. Step 4: Simplify right side
    4,556.25x = 35,793,297.56
  5. Step 5: Solve for x
    x = 35,793,297.56/4,556.25
  6. Step 6: Final answer
    x = 7,855.87

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.