Finding the Third Proportional to 31,751 and 50,233
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Solution
The third proportional to 31,751 and 50,233 is: 79,473.22
Step by Step Solution
- Step 1: Write the proportion equation
31,751 : 50,233 = 50,233 : x - Step 2: Convert to fraction form
31,751/50,233 = 50,233/x - Step 3: Cross multiply
31,751x = 50,233 × 50,233 - Step 4: Simplify right side
31,751x = 2,523,354,289 - Step 5: Solve for x
x = 2,523,354,289/31,751 - Step 6: Final answer
x = 79,473.22
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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.