Finding the Third Proportional to 31,234 and 49,956
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Solution
The third proportional to 31,234 and 49,956 is: 79,900.17
Step by Step Solution
- Step 1: Write the proportion equation
31,234 : 49,956 = 49,956 : x - Step 2: Convert to fraction form
31,234/49,956 = 49,956/x - Step 3: Cross multiply
31,234x = 49,956 × 49,956 - Step 4: Simplify right side
31,234x = 2,495,601,936 - Step 5: Solve for x
x = 2,495,601,936/31,234 - Step 6: Final answer
x = 79,900.17
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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.