Finding the Third Proportional to 826 and 1,464
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Solution
The third proportional to 826 and 1,464 is: 2,594.79
Step by Step Solution
- Step 1: Write the proportion equation
826 : 1,464 = 1,464 : x - Step 2: Convert to fraction form
826/1,464 = 1,464/x - Step 3: Cross multiply
826x = 1,464 × 1,464 - Step 4: Simplify right side
826x = 2,143,296 - Step 5: Solve for x
x = 2,143,296/826 - Step 6: Final answer
x = 2,594.79
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Why These Related Problems?
These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.