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Finding the Third Proportional to 3,604.50 and 5,991.47

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Solution

The third proportional to 3,604.50 and 5,991.47 is: 9,959.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,604.50 : 5,991.47 = 5,991.47 : x
  2. Step 2: Convert to fraction form
    3,604.50/5,991.47 = 5,991.47/x
  3. Step 3: Cross multiply
    3,604.50x = 5,991.47 × 5,991.47
  4. Step 4: Simplify right side
    3,604.50x = 35,897,697.78
  5. Step 5: Solve for x
    x = 35,897,697.78/3,604.50
  6. Step 6: Final answer
    x = 9,959.13

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These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.