Finding the Third Proportional to 8,221 and 17,026
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Solution
The third proportional to 8,221 and 17,026 is: 35,261.49
Step by Step Solution
- Step 1: Write the proportion equation
8,221 : 17,026 = 17,026 : x - Step 2: Convert to fraction form
8,221/17,026 = 17,026/x - Step 3: Cross multiply
8,221x = 17,026 × 17,026 - Step 4: Simplify right side
8,221x = 289,884,676 - Step 5: Solve for x
x = 289,884,676/8,221 - Step 6: Final answer
x = 35,261.49
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Why These Related Problems?
These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.