Finding the Third Proportional to 41,318 and 84,814
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Solution
The third proportional to 41,318 and 84,814 is: 174,098.81
Step by Step Solution
- Step 1: Write the proportion equation
41,318 : 84,814 = 84,814 : x - Step 2: Convert to fraction form
41,318/84,814 = 84,814/x - Step 3: Cross multiply
41,318x = 84,814 × 84,814 - Step 4: Simplify right side
41,318x = 7,193,414,596 - Step 5: Solve for x
x = 7,193,414,596/41,318 - Step 6: Final answer
x = 174,098.81
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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.