Finding the Third Proportional to 8,090 and 17,456
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Solution
The third proportional to 8,090 and 17,456 is: 37,665.26
Step by Step Solution
- Step 1: Write the proportion equation
8,090 : 17,456 = 17,456 : x - Step 2: Convert to fraction form
8,090/17,456 = 17,456/x - Step 3: Cross multiply
8,090x = 17,456 × 17,456 - Step 4: Simplify right side
8,090x = 304,711,936 - Step 5: Solve for x
x = 304,711,936/8,090 - Step 6: Final answer
x = 37,665.26
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.