Finding the Third Proportional to 14,180 and 30,842
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Solution
The third proportional to 14,180 and 30,842 is: 67,082.44
Step by Step Solution
- Step 1: Write the proportion equation
14,180 : 30,842 = 30,842 : x - Step 2: Convert to fraction form
14,180/30,842 = 30,842/x - Step 3: Cross multiply
14,180x = 30,842 × 30,842 - Step 4: Simplify right side
14,180x = 951,228,964 - Step 5: Solve for x
x = 951,228,964/14,180 - Step 6: Final answer
x = 67,082.44
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.