Finding the Third Proportional to 49,300 and 80,494
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Solution
The third proportional to 49,300 and 80,494 is: 131,425.64
Step by Step Solution
- Step 1: Write the proportion equation
49,300 : 80,494 = 80,494 : x - Step 2: Convert to fraction form
49,300/80,494 = 80,494/x - Step 3: Cross multiply
49,300x = 80,494 × 80,494 - Step 4: Simplify right side
49,300x = 6,479,284,036 - Step 5: Solve for x
x = 6,479,284,036/49,300 - Step 6: Final answer
x = 131,425.64
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Why These Related Problems?
These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.