Finding the Third Proportional to 769 and 2,021.50
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Solution
The third proportional to 769 and 2,021.50 is: 5,314.00
Step by Step Solution
- Step 1: Write the proportion equation
769 : 2,021.50 = 2,021.50 : x - Step 2: Convert to fraction form
769/2,021.50 = 2,021.50/x - Step 3: Cross multiply
769x = 2,021.50 × 2,021.50 - Step 4: Simplify right side
769x = 4,086,462.25 - Step 5: Solve for x
x = 4,086,462.25/769 - Step 6: Final answer
x = 5,314.00
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Why These Related Problems?
These problems maintain the same ratio (2.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.