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Finding the Third Proportional to 533.25 and 1,163.63

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Solution

The third proportional to 533.25 and 1,163.63 is: 2,539.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.25 : 1,163.63 = 1,163.63 : x
  2. Step 2: Convert to fraction form
    533.25/1,163.63 = 1,163.63/x
  3. Step 3: Cross multiply
    533.25x = 1,163.63 × 1,163.63
  4. Step 4: Simplify right side
    533.25x = 1,354,023.14
  5. Step 5: Solve for x
    x = 1,354,023.14/533.25
  6. Step 6: Final answer
    x = 2,539.19

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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.