Finding the Third Proportional to 850 and 2,036
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Solution
The third proportional to 850 and 2,036 is: 4,876.82
Step by Step Solution
- Step 1: Write the proportion equation
850 : 2,036 = 2,036 : x - Step 2: Convert to fraction form
850/2,036 = 2,036/x - Step 3: Cross multiply
850x = 2,036 × 2,036 - Step 4: Simplify right side
850x = 4,145,296 - Step 5: Solve for x
x = 4,145,296/850 - Step 6: Final answer
x = 4,876.82
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These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.