Finding the Third Proportional to 37,714 and 80,162
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Solution
The third proportional to 37,714 and 80,162 is: 170,386.23
Step by Step Solution
- Step 1: Write the proportion equation
37,714 : 80,162 = 80,162 : x - Step 2: Convert to fraction form
37,714/80,162 = 80,162/x - Step 3: Cross multiply
37,714x = 80,162 × 80,162 - Step 4: Simplify right side
37,714x = 6,425,946,244 - Step 5: Solve for x
x = 6,425,946,244/37,714 - Step 6: Final answer
x = 170,386.23
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Why These Related Problems?
These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.