Finding the Third Proportional to 38,194 and 82,030
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Solution
The third proportional to 38,194 and 82,030 is: 176,177.43
Step by Step Solution
- Step 1: Write the proportion equation
38,194 : 82,030 = 82,030 : x - Step 2: Convert to fraction form
38,194/82,030 = 82,030/x - Step 3: Cross multiply
38,194x = 82,030 × 82,030 - Step 4: Simplify right side
38,194x = 6,728,920,900 - Step 5: Solve for x
x = 6,728,920,900/38,194 - Step 6: Final answer
x = 176,177.43
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Why These Related Problems?
These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.