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Finding the Third Proportional to 3,852.75 and 5,977.25

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Solution

The third proportional to 3,852.75 and 5,977.25 is: 9,273.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,852.75 : 5,977.25 = 5,977.25 : x
  2. Step 2: Convert to fraction form
    3,852.75/5,977.25 = 5,977.25/x
  3. Step 3: Cross multiply
    3,852.75x = 5,977.25 × 5,977.25
  4. Step 4: Simplify right side
    3,852.75x = 35,727,517.56
  5. Step 5: Solve for x
    x = 35,727,517.56/3,852.75
  6. Step 6: Final answer
    x = 9,273.25

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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.