Finding the Third Proportional to 27,771 and 54,158
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Solution
The third proportional to 27,771 and 54,158 is: 105,616.97
Step by Step Solution
- Step 1: Write the proportion equation
27,771 : 54,158 = 54,158 : x - Step 2: Convert to fraction form
27,771/54,158 = 54,158/x - Step 3: Cross multiply
27,771x = 54,158 × 54,158 - Step 4: Simplify right side
27,771x = 2,933,088,964 - Step 5: Solve for x
x = 2,933,088,964/27,771 - Step 6: Final answer
x = 105,616.97
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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.