Finding the Third Proportional to 26,826 and 41,775
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Solution
The third proportional to 26,826 and 41,775 is: 65,054.45
Step by Step Solution
- Step 1: Write the proportion equation
26,826 : 41,775 = 41,775 : x - Step 2: Convert to fraction form
26,826/41,775 = 41,775/x - Step 3: Cross multiply
26,826x = 41,775 × 41,775 - Step 4: Simplify right side
26,826x = 1,745,150,625 - Step 5: Solve for x
x = 1,745,150,625/26,826 - Step 6: Final answer
x = 65,054.45
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Why These Related Problems?
These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.