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Finding the Third Proportional to 3,232.50 and 4,942.73

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Solution

The third proportional to 3,232.50 and 4,942.73 is: 7,557.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,232.50 : 4,942.73 = 4,942.73 : x
  2. Step 2: Convert to fraction form
    3,232.50/4,942.73 = 4,942.73/x
  3. Step 3: Cross multiply
    3,232.50x = 4,942.73 × 4,942.73
  4. Step 4: Simplify right side
    3,232.50x = 24,430,623.10
  5. Step 5: Solve for x
    x = 24,430,623.10/3,232.50
  6. Step 6: Final answer
    x = 7,557.81

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.