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Finding the Third Proportional to 4,196.39 and 5,679.07

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Solution

The third proportional to 4,196.39 and 5,679.07 is: 7,685.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,196.39 : 5,679.07 = 5,679.07 : x
  2. Step 2: Convert to fraction form
    4,196.39/5,679.07 = 5,679.07/x
  3. Step 3: Cross multiply
    4,196.39x = 5,679.07 × 5,679.07
  4. Step 4: Simplify right side
    4,196.39x = 32,251,839.61
  5. Step 5: Solve for x
    x = 32,251,839.61/4,196.39
  6. Step 6: Final answer
    x = 7,685.61

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.