Finding the Third Proportional to 41,046 and 52,821
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Solution
The third proportional to 41,046 and 52,821 is: 67,973.93
Step by Step Solution
- Step 1: Write the proportion equation
41,046 : 52,821 = 52,821 : x - Step 2: Convert to fraction form
41,046/52,821 = 52,821/x - Step 3: Cross multiply
41,046x = 52,821 × 52,821 - Step 4: Simplify right side
41,046x = 2,790,058,041 - Step 5: Solve for x
x = 2,790,058,041/41,046 - Step 6: Final answer
x = 67,973.93
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These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.