Finding the Third Proportional to 27,634 and 42,675
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Solution
The third proportional to 27,634 and 42,675 is: 65,902.71
Step by Step Solution
- Step 1: Write the proportion equation
27,634 : 42,675 = 42,675 : x - Step 2: Convert to fraction form
27,634/42,675 = 42,675/x - Step 3: Cross multiply
27,634x = 42,675 × 42,675 - Step 4: Simplify right side
27,634x = 1,821,155,625 - Step 5: Solve for x
x = 1,821,155,625/27,634 - Step 6: Final answer
x = 65,902.71
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Why These Related Problems?
These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.