Finding the Third Proportional to 38,045 and 82,514
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Solution
The third proportional to 38,045 and 82,514 is: 178,960.71
Step by Step Solution
- Step 1: Write the proportion equation
38,045 : 82,514 = 82,514 : x - Step 2: Convert to fraction form
38,045/82,514 = 82,514/x - Step 3: Cross multiply
38,045x = 82,514 × 82,514 - Step 4: Simplify right side
38,045x = 6,808,560,196 - Step 5: Solve for x
x = 6,808,560,196/38,045 - Step 6: Final answer
x = 178,960.71
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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.