Finding the Third Proportional to 36,274.50 and 76,923
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Solution
The third proportional to 36,274.50 and 76,923 is: 163,121.42
Step by Step Solution
- Step 1: Write the proportion equation
36,274.50 : 76,923 = 76,923 : x - Step 2: Convert to fraction form
36,274.50/76,923 = 76,923/x - Step 3: Cross multiply
36,274.50x = 76,923 × 76,923 - Step 4: Simplify right side
36,274.50x = 5,917,147,929 - Step 5: Solve for x
x = 5,917,147,929/36,274.50 - Step 6: Final answer
x = 163,121.42
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Why These Related Problems?
These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.