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Finding the Third Proportional to 5,794.03 and 10,760.34

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Solution

The third proportional to 5,794.03 and 10,760.34 is: 19,983.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,794.03 : 10,760.34 = 10,760.34 : x
  2. Step 2: Convert to fraction form
    5,794.03/10,760.34 = 10,760.34/x
  3. Step 3: Cross multiply
    5,794.03x = 10,760.34 × 10,760.34
  4. Step 4: Simplify right side
    5,794.03x = 115,784,997.62
  5. Step 5: Solve for x
    x = 115,784,997.62/5,794.03
  6. Step 6: Final answer
    x = 19,983.50

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These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.