Finding the Third Proportional to 3,202.50 and 5,220.75
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Solution
The third proportional to 3,202.50 and 5,220.75 is: 8,510.92
Step by Step Solution
- Step 1: Write the proportion equation
3,202.50 : 5,220.75 = 5,220.75 : x - Step 2: Convert to fraction form
3,202.50/5,220.75 = 5,220.75/x - Step 3: Cross multiply
3,202.50x = 5,220.75 × 5,220.75 - Step 4: Simplify right side
3,202.50x = 27,256,230.56 - Step 5: Solve for x
x = 27,256,230.56/3,202.50 - Step 6: Final answer
x = 8,510.92
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Why These Related Problems?
These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.