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Finding the Third Proportional to 9,028.50 and 12,299.25

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Solution

The third proportional to 9,028.50 and 12,299.25 is: 16,754.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,028.50 : 12,299.25 = 12,299.25 : x
  2. Step 2: Convert to fraction form
    9,028.50/12,299.25 = 12,299.25/x
  3. Step 3: Cross multiply
    9,028.50x = 12,299.25 × 12,299.25
  4. Step 4: Simplify right side
    9,028.50x = 151,271,550.56
  5. Step 5: Solve for x
    x = 151,271,550.56/9,028.50
  6. Step 6: Final answer
    x = 16,754.89

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.