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Finding the Third Proportional to 3,367.83 and 5,985.14

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Solution

The third proportional to 3,367.83 and 5,985.14 is: 10,636.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,367.83 : 5,985.14 = 5,985.14 : x
  2. Step 2: Convert to fraction form
    3,367.83/5,985.14 = 5,985.14/x
  3. Step 3: Cross multiply
    3,367.83x = 5,985.14 × 5,985.14
  4. Step 4: Simplify right side
    3,367.83x = 35,821,908.30
  5. Step 5: Solve for x
    x = 35,821,908.30/3,367.83
  6. Step 6: Final answer
    x = 10,636.50

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These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.