Finding the Third Proportional to 32,338 and 71,474
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Solution
The third proportional to 32,338 and 71,474 is: 157,973.06
Step by Step Solution
- Step 1: Write the proportion equation
32,338 : 71,474 = 71,474 : x - Step 2: Convert to fraction form
32,338/71,474 = 71,474/x - Step 3: Cross multiply
32,338x = 71,474 × 71,474 - Step 4: Simplify right side
32,338x = 5,108,532,676 - Step 5: Solve for x
x = 5,108,532,676/32,338 - Step 6: Final answer
x = 157,973.06
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Why These Related Problems?
These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.