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Finding the Third Proportional to 4,296.94 and 5,797.41

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Solution

The third proportional to 4,296.94 and 5,797.41 is: 7,821.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,296.94 : 5,797.41 = 5,797.41 : x
  2. Step 2: Convert to fraction form
    4,296.94/5,797.41 = 5,797.41/x
  3. Step 3: Cross multiply
    4,296.94x = 5,797.41 × 5,797.41
  4. Step 4: Simplify right side
    4,296.94x = 33,609,919.23
  5. Step 5: Solve for x
    x = 33,609,919.23/4,296.94
  6. Step 6: Final answer
    x = 7,821.83

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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.