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Finding the Third Proportional to 4,150.03 and 8,991.50

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Solution

The third proportional to 4,150.03 and 8,991.50 is: 19,481.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,150.03 : 8,991.50 = 8,991.50 : x
  2. Step 2: Convert to fraction form
    4,150.03/8,991.50 = 8,991.50/x
  3. Step 3: Cross multiply
    4,150.03x = 8,991.50 × 8,991.50
  4. Step 4: Simplify right side
    4,150.03x = 80,847,072.25
  5. Step 5: Solve for x
    x = 80,847,072.25/4,150.03
  6. Step 6: Final answer
    x = 19,481.08

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.