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Finding the Third Proportional to 5,935.89 and 10,996.00

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Solution

The third proportional to 5,935.89 and 10,996.00 is: 20,369.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,935.89 : 10,996.00 = 10,996.00 : x
  2. Step 2: Convert to fraction form
    5,935.89/10,996.00 = 10,996.00/x
  3. Step 3: Cross multiply
    5,935.89x = 10,996.00 × 10,996.00
  4. Step 4: Simplify right side
    5,935.89x = 120,912,062.98
  5. Step 5: Solve for x
    x = 120,912,062.98/5,935.89
  6. Step 6: Final answer
    x = 20,369.64

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These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.