Finding the Third Proportional to 17,864 and 36,214
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Solution
The third proportional to 17,864 and 36,214 is: 73,413.22
Step by Step Solution
- Step 1: Write the proportion equation
17,864 : 36,214 = 36,214 : x - Step 2: Convert to fraction form
17,864/36,214 = 36,214/x - Step 3: Cross multiply
17,864x = 36,214 × 36,214 - Step 4: Simplify right side
17,864x = 1,311,453,796 - Step 5: Solve for x
x = 1,311,453,796/17,864 - Step 6: Final answer
x = 73,413.22
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Why These Related Problems?
These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.