Finding the Third Proportional to 5,723 and 6,317
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Solution
The third proportional to 5,723 and 6,317 is: 6,972.65
Step by Step Solution
- Step 1: Write the proportion equation
5,723 : 6,317 = 6,317 : x - Step 2: Convert to fraction form
5,723/6,317 = 6,317/x - Step 3: Cross multiply
5,723x = 6,317 × 6,317 - Step 4: Simplify right side
5,723x = 39,904,489 - Step 5: Solve for x
x = 39,904,489/5,723 - Step 6: Final answer
x = 6,972.65
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Why These Related Problems?
These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.