Finding the Third Proportional to 24,800 and 54,514
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Solution
The third proportional to 24,800 and 54,514 is: 119,829.69
Step by Step Solution
- Step 1: Write the proportion equation
24,800 : 54,514 = 54,514 : x - Step 2: Convert to fraction form
24,800/54,514 = 54,514/x - Step 3: Cross multiply
24,800x = 54,514 × 54,514 - Step 4: Simplify right side
24,800x = 2,971,776,196 - Step 5: Solve for x
x = 2,971,776,196/24,800 - Step 6: Final answer
x = 119,829.69
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Why These Related Problems?
These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.