Finding the Third Proportional to 826 and 1,803
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Solution
The third proportional to 826 and 1,803 is: 3,935.60
Step by Step Solution
- Step 1: Write the proportion equation
826 : 1,803 = 1,803 : x - Step 2: Convert to fraction form
826/1,803 = 1,803/x - Step 3: Cross multiply
826x = 1,803 × 1,803 - Step 4: Simplify right side
826x = 3,250,809 - Step 5: Solve for x
x = 3,250,809/826 - Step 6: Final answer
x = 3,935.60
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.