Finding the Third Proportional to 23,086.50 and 49,863
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Solution
The third proportional to 23,086.50 and 49,863 is: 107,695.79
Step by Step Solution
- Step 1: Write the proportion equation
23,086.50 : 49,863 = 49,863 : x - Step 2: Convert to fraction form
23,086.50/49,863 = 49,863/x - Step 3: Cross multiply
23,086.50x = 49,863 × 49,863 - Step 4: Simplify right side
23,086.50x = 2,486,318,769 - Step 5: Solve for x
x = 2,486,318,769/23,086.50 - Step 6: Final answer
x = 107,695.79
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.