Finding the Third Proportional to 38,082 and 82,698
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Solution
The third proportional to 38,082 and 82,698 is: 179,585.08
Step by Step Solution
- Step 1: Write the proportion equation
38,082 : 82,698 = 82,698 : x - Step 2: Convert to fraction form
38,082/82,698 = 82,698/x - Step 3: Cross multiply
38,082x = 82,698 × 82,698 - Step 4: Simplify right side
38,082x = 6,838,959,204 - Step 5: Solve for x
x = 6,838,959,204/38,082 - Step 6: Final answer
x = 179,585.08
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.