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Finding the Third Proportional to 3,901 and 5,255.50

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Solution

The third proportional to 3,901 and 5,255.50 is: 7,080.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,901 : 5,255.50 = 5,255.50 : x
  2. Step 2: Convert to fraction form
    3,901/5,255.50 = 5,255.50/x
  3. Step 3: Cross multiply
    3,901x = 5,255.50 × 5,255.50
  4. Step 4: Simplify right side
    3,901x = 27,620,280.25
  5. Step 5: Solve for x
    x = 27,620,280.25/3,901
  6. Step 6: Final answer
    x = 7,080.31

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.