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Finding the Third Proportional to 755.25 and 1,647.75

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Solution

The third proportional to 755.25 and 1,647.75 is: 3,594.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.25 : 1,647.75 = 1,647.75 : x
  2. Step 2: Convert to fraction form
    755.25/1,647.75 = 1,647.75/x
  3. Step 3: Cross multiply
    755.25x = 1,647.75 × 1,647.75
  4. Step 4: Simplify right side
    755.25x = 2,715,080.06
  5. Step 5: Solve for x
    x = 2,715,080.06/755.25
  6. Step 6: Final answer
    x = 3,594.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.