Finding the Third Proportional to 45,206 and 65,757
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Solution
The third proportional to 45,206 and 65,757 is: 95,650.64
Step by Step Solution
- Step 1: Write the proportion equation
45,206 : 65,757 = 65,757 : x - Step 2: Convert to fraction form
45,206/65,757 = 65,757/x - Step 3: Cross multiply
45,206x = 65,757 × 65,757 - Step 4: Simplify right side
45,206x = 4,323,983,049 - Step 5: Solve for x
x = 4,323,983,049/45,206 - Step 6: Final answer
x = 95,650.64
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Why These Related Problems?
These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.