Finding the Third Proportional to 31,968 and 50,150
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Solution
The third proportional to 31,968 and 50,150 is: 78,673.13
Step by Step Solution
- Step 1: Write the proportion equation
31,968 : 50,150 = 50,150 : x - Step 2: Convert to fraction form
31,968/50,150 = 50,150/x - Step 3: Cross multiply
31,968x = 50,150 × 50,150 - Step 4: Simplify right side
31,968x = 2,515,022,500 - Step 5: Solve for x
x = 2,515,022,500/31,968 - Step 6: Final answer
x = 78,673.13
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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.