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Finding the Third Proportional to 5,940.38 and 9,343.31

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Solution

The third proportional to 5,940.38 and 9,343.31 is: 14,695.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,940.38 : 9,343.31 = 9,343.31 : x
  2. Step 2: Convert to fraction form
    5,940.38/9,343.31 = 9,343.31/x
  3. Step 3: Cross multiply
    5,940.38x = 9,343.31 × 9,343.31
  4. Step 4: Simplify right side
    5,940.38x = 87,297,488.47
  5. Step 5: Solve for x
    x = 87,297,488.47/5,940.38
  6. Step 6: Final answer
    x = 14,695.62

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.