Finding the Third Proportional to 8,221 and 17,996
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Solution
The third proportional to 8,221 and 17,996 is: 39,393.75
Step by Step Solution
- Step 1: Write the proportion equation
8,221 : 17,996 = 17,996 : x - Step 2: Convert to fraction form
8,221/17,996 = 17,996/x - Step 3: Cross multiply
8,221x = 17,996 × 17,996 - Step 4: Simplify right side
8,221x = 323,856,016 - Step 5: Solve for x
x = 323,856,016/8,221 - Step 6: Final answer
x = 39,393.75
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.