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Finding the Third Proportional to 6,223.50 and 8,939.25

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Solution

The third proportional to 6,223.50 and 8,939.25 is: 12,840.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,223.50 : 8,939.25 = 8,939.25 : x
  2. Step 2: Convert to fraction form
    6,223.50/8,939.25 = 8,939.25/x
  3. Step 3: Cross multiply
    6,223.50x = 8,939.25 × 8,939.25
  4. Step 4: Simplify right side
    6,223.50x = 79,910,190.56
  5. Step 5: Solve for x
    x = 79,910,190.56/6,223.50
  6. Step 6: Final answer
    x = 12,840.07

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.