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Finding the Third Proportional to 32,193.70 and 49,247.37

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Solution

The third proportional to 32,193.70 and 49,247.37 is: 75,334.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,193.70 : 49,247.37 = 49,247.37 : x
  2. Step 2: Convert to fraction form
    32,193.70/49,247.37 = 49,247.37/x
  3. Step 3: Cross multiply
    32,193.70x = 49,247.37 × 49,247.37
  4. Step 4: Simplify right side
    32,193.70x = 2,425,303,174.90
  5. Step 5: Solve for x
    x = 2,425,303,174.90/32,193.70
  6. Step 6: Final answer
    x = 75,334.71

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