Finding the Third Proportional to 37,158 and 52,821
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Solution
The third proportional to 37,158 and 52,821 is: 75,086.34
Step by Step Solution
- Step 1: Write the proportion equation
37,158 : 52,821 = 52,821 : x - Step 2: Convert to fraction form
37,158/52,821 = 52,821/x - Step 3: Cross multiply
37,158x = 52,821 × 52,821 - Step 4: Simplify right side
37,158x = 2,790,058,041 - Step 5: Solve for x
x = 2,790,058,041/37,158 - Step 6: Final answer
x = 75,086.34
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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.