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Finding the Third Proportional to 4,197.09 and 5,679.84

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Solution

The third proportional to 4,197.09 and 5,679.84 is: 7,686.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,197.09 : 5,679.84 = 5,679.84 : x
  2. Step 2: Convert to fraction form
    4,197.09/5,679.84 = 5,679.84/x
  3. Step 3: Cross multiply
    4,197.09x = 5,679.84 × 5,679.84
  4. Step 4: Simplify right side
    4,197.09x = 32,260,625.02
  5. Step 5: Solve for x
    x = 32,260,625.02/4,197.09
  6. Step 6: Final answer
    x = 7,686.42

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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.