Finding the Third Proportional to 755 and 1,687
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Solution
The third proportional to 755 and 1,687 is: 3,769.50
Step by Step Solution
- Step 1: Write the proportion equation
755 : 1,687 = 1,687 : x - Step 2: Convert to fraction form
755/1,687 = 1,687/x - Step 3: Cross multiply
755x = 1,687 × 1,687 - Step 4: Simplify right side
755x = 2,845,969 - Step 5: Solve for x
x = 2,845,969/755 - Step 6: Final answer
x = 3,769.50
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Why These Related Problems?
These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.