Finding the Third Proportional to 31,989 and 50,082
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Solution
The third proportional to 31,989 and 50,082 is: 78,408.41
Step by Step Solution
- Step 1: Write the proportion equation
31,989 : 50,082 = 50,082 : x - Step 2: Convert to fraction form
31,989/50,082 = 50,082/x - Step 3: Cross multiply
31,989x = 50,082 × 50,082 - Step 4: Simplify right side
31,989x = 2,508,206,724 - Step 5: Solve for x
x = 2,508,206,724/31,989 - Step 6: Final answer
x = 78,408.41
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Why These Related Problems?
These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.