Finding the Third Proportional to 3,714 and 5,732
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Solution
The third proportional to 3,714 and 5,732 is: 8,846.48
Step by Step Solution
- Step 1: Write the proportion equation
3,714 : 5,732 = 5,732 : x - Step 2: Convert to fraction form
3,714/5,732 = 5,732/x - Step 3: Cross multiply
3,714x = 5,732 × 5,732 - Step 4: Simplify right side
3,714x = 32,855,824 - Step 5: Solve for x
x = 32,855,824/3,714 - Step 6: Final answer
x = 8,846.48
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Why These Related Problems?
These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.