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Finding the Third Proportional to 17,640.50 and 24,192.75

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Solution

The third proportional to 17,640.50 and 24,192.75 is: 33,178.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,640.50 : 24,192.75 = 24,192.75 : x
  2. Step 2: Convert to fraction form
    17,640.50/24,192.75 = 24,192.75/x
  3. Step 3: Cross multiply
    17,640.50x = 24,192.75 × 24,192.75
  4. Step 4: Simplify right side
    17,640.50x = 585,289,152.56
  5. Step 5: Solve for x
    x = 585,289,152.56/17,640.50
  6. Step 6: Final answer
    x = 33,178.72

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.