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Finding the Third Proportional to 3,261.50 and 4,647.25

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Solution

The third proportional to 3,261.50 and 4,647.25 is: 6,621.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,261.50 : 4,647.25 = 4,647.25 : x
  2. Step 2: Convert to fraction form
    3,261.50/4,647.25 = 4,647.25/x
  3. Step 3: Cross multiply
    3,261.50x = 4,647.25 × 4,647.25
  4. Step 4: Simplify right side
    3,261.50x = 21,596,932.56
  5. Step 5: Solve for x
    x = 21,596,932.56/3,261.50
  6. Step 6: Final answer
    x = 6,621.78

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.