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Finding the Third Proportional to 3,515.91 and 5,968.69

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Solution

The third proportional to 3,515.91 and 5,968.69 is: 10,132.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,515.91 : 5,968.69 = 5,968.69 : x
  2. Step 2: Convert to fraction form
    3,515.91/5,968.69 = 5,968.69/x
  3. Step 3: Cross multiply
    3,515.91x = 5,968.69 × 5,968.69
  4. Step 4: Simplify right side
    3,515.91x = 35,625,230.47
  5. Step 5: Solve for x
    x = 35,625,230.47/3,515.91
  6. Step 6: Final answer
    x = 10,132.59

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These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.