Finding the Third Proportional to 31,169 and 50,138
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Solution
The third proportional to 31,169 and 50,138 is: 80,651.26
Step by Step Solution
- Step 1: Write the proportion equation
31,169 : 50,138 = 50,138 : x - Step 2: Convert to fraction form
31,169/50,138 = 50,138/x - Step 3: Cross multiply
31,169x = 50,138 × 50,138 - Step 4: Simplify right side
31,169x = 2,513,819,044 - Step 5: Solve for x
x = 2,513,819,044/31,169 - Step 6: Final answer
x = 80,651.26
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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.