Finding the Third Proportional to 31,154 and 49,595
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Solution
The third proportional to 31,154 and 49,595 is: 78,951.79
Step by Step Solution
- Step 1: Write the proportion equation
31,154 : 49,595 = 49,595 : x - Step 2: Convert to fraction form
31,154/49,595 = 49,595/x - Step 3: Cross multiply
31,154x = 49,595 × 49,595 - Step 4: Simplify right side
31,154x = 2,459,664,025 - Step 5: Solve for x
x = 2,459,664,025/31,154 - Step 6: Final answer
x = 78,951.79
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Why These Related Problems?
These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.