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Finding the Third Proportional to 5,563.50 and 12,936.75

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Solution

The third proportional to 5,563.50 and 12,936.75 is: 30,081.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,563.50 : 12,936.75 = 12,936.75 : x
  2. Step 2: Convert to fraction form
    5,563.50/12,936.75 = 12,936.75/x
  3. Step 3: Cross multiply
    5,563.50x = 12,936.75 × 12,936.75
  4. Step 4: Simplify right side
    5,563.50x = 167,359,500.56
  5. Step 5: Solve for x
    x = 167,359,500.56/5,563.50
  6. Step 6: Final answer
    x = 30,081.69

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These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.