Finding the Third Proportional to 8,032 and 17,036
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Solution
The third proportional to 8,032 and 17,036 is: 36,133.63
Step by Step Solution
- Step 1: Write the proportion equation
8,032 : 17,036 = 17,036 : x - Step 2: Convert to fraction form
8,032/17,036 = 17,036/x - Step 3: Cross multiply
8,032x = 17,036 × 17,036 - Step 4: Simplify right side
8,032x = 290,225,296 - Step 5: Solve for x
x = 290,225,296/8,032 - Step 6: Final answer
x = 36,133.63
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Why These Related Problems?
These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.