Finding the Third Proportional to 52,818 and 76,843
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Solution
The third proportional to 52,818 and 76,843 is: 111,796.10
Step by Step Solution
- Step 1: Write the proportion equation
52,818 : 76,843 = 76,843 : x - Step 2: Convert to fraction form
52,818/76,843 = 76,843/x - Step 3: Cross multiply
52,818x = 76,843 × 76,843 - Step 4: Simplify right side
52,818x = 5,904,846,649 - Step 5: Solve for x
x = 5,904,846,649/52,818 - Step 6: Final answer
x = 111,796.10
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Why These Related Problems?
These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.