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Finding the Third Proportional to 7,399.50 and 10,408.75

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Solution

The third proportional to 7,399.50 and 10,408.75 is: 14,641.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,399.50 : 10,408.75 = 10,408.75 : x
  2. Step 2: Convert to fraction form
    7,399.50/10,408.75 = 10,408.75/x
  3. Step 3: Cross multiply
    7,399.50x = 10,408.75 × 10,408.75
  4. Step 4: Simplify right side
    7,399.50x = 108,342,076.56
  5. Step 5: Solve for x
    x = 108,342,076.56/7,399.50
  6. Step 6: Final answer
    x = 14,641.81

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.