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Finding the Third Proportional to 5,996.53 and 8,387.72

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Solution

The third proportional to 5,996.53 and 8,387.72 is: 11,732.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,996.53 : 8,387.72 = 8,387.72 : x
  2. Step 2: Convert to fraction form
    5,996.53/8,387.72 = 8,387.72/x
  3. Step 3: Cross multiply
    5,996.53x = 8,387.72 × 8,387.72
  4. Step 4: Simplify right side
    5,996.53x = 70,353,825.83
  5. Step 5: Solve for x
    x = 70,353,825.83/5,996.53
  6. Step 6: Final answer
    x = 11,732.42

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.