Finding the Third Proportional to 31,349 and 67,012
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Solution
The third proportional to 31,349 and 67,012 is: 143,245.66
Step by Step Solution
- Step 1: Write the proportion equation
31,349 : 67,012 = 67,012 : x - Step 2: Convert to fraction form
31,349/67,012 = 67,012/x - Step 3: Cross multiply
31,349x = 67,012 × 67,012 - Step 4: Simplify right side
31,349x = 4,490,608,144 - Step 5: Solve for x
x = 4,490,608,144/31,349 - Step 6: Final answer
x = 143,245.66
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.