Finding the Third Proportional to 32,344 and 71,504
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Solution
The third proportional to 32,344 and 71,504 is: 158,076.37
Step by Step Solution
- Step 1: Write the proportion equation
32,344 : 71,504 = 71,504 : x - Step 2: Convert to fraction form
32,344/71,504 = 71,504/x - Step 3: Cross multiply
32,344x = 71,504 × 71,504 - Step 4: Simplify right side
32,344x = 5,112,822,016 - Step 5: Solve for x
x = 5,112,822,016/32,344 - Step 6: Final answer
x = 158,076.37
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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.