Finding the Third Proportional to 32,821.50 and 71,997
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Solution
The third proportional to 32,821.50 and 71,997 is: 157,932.09
Step by Step Solution
- Step 1: Write the proportion equation
32,821.50 : 71,997 = 71,997 : x - Step 2: Convert to fraction form
32,821.50/71,997 = 71,997/x - Step 3: Cross multiply
32,821.50x = 71,997 × 71,997 - Step 4: Simplify right side
32,821.50x = 5,183,568,009 - Step 5: Solve for x
x = 5,183,568,009/32,821.50 - Step 6: Final answer
x = 157,932.09
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.