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Finding the Third Proportional to 9,028.55 and 11,982.94

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Solution

The third proportional to 9,028.55 and 11,982.94 is: 15,904.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,028.55 : 11,982.94 = 11,982.94 : x
  2. Step 2: Convert to fraction form
    9,028.55/11,982.94 = 11,982.94/x
  3. Step 3: Cross multiply
    9,028.55x = 11,982.94 × 11,982.94
  4. Step 4: Simplify right side
    9,028.55x = 143,590,791.13
  5. Step 5: Solve for x
    x = 143,590,791.13/9,028.55
  6. Step 6: Final answer
    x = 15,904.09

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.