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Finding the Third Proportional to 5,634.94 and 8,759.44

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Solution

The third proportional to 5,634.94 and 8,759.44 is: 13,616.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,634.94 : 8,759.44 = 8,759.44 : x
  2. Step 2: Convert to fraction form
    5,634.94/8,759.44 = 8,759.44/x
  3. Step 3: Cross multiply
    5,634.94x = 8,759.44 × 8,759.44
  4. Step 4: Simplify right side
    5,634.94x = 76,727,745.32
  5. Step 5: Solve for x
    x = 76,727,745.32/5,634.94
  6. Step 6: Final answer
    x = 13,616.43

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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.