Finding the Third Proportional to 57,448 and 82,743
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Solution
The third proportional to 57,448 and 82,743 is: 119,175.67
Step by Step Solution
- Step 1: Write the proportion equation
57,448 : 82,743 = 82,743 : x - Step 2: Convert to fraction form
57,448/82,743 = 82,743/x - Step 3: Cross multiply
57,448x = 82,743 × 82,743 - Step 4: Simplify right side
57,448x = 6,846,404,049 - Step 5: Solve for x
x = 6,846,404,049/57,448 - Step 6: Final answer
x = 119,175.67
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Why These Related Problems?
These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.