Finding the Third Proportional to 7,460 and 17,162
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Solution
The third proportional to 7,460 and 17,162 is: 39,481.80
Step by Step Solution
- Step 1: Write the proportion equation
7,460 : 17,162 = 17,162 : x - Step 2: Convert to fraction form
7,460/17,162 = 17,162/x - Step 3: Cross multiply
7,460x = 17,162 × 17,162 - Step 4: Simplify right side
7,460x = 294,534,244 - Step 5: Solve for x
x = 294,534,244/7,460 - Step 6: Final answer
x = 39,481.80
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Why These Related Problems?
These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.