Finding the Third Proportional to 27,256 and 42,218
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Solution
The third proportional to 27,256 and 42,218 is: 65,393.29
Step by Step Solution
- Step 1: Write the proportion equation
27,256 : 42,218 = 42,218 : x - Step 2: Convert to fraction form
27,256/42,218 = 42,218/x - Step 3: Cross multiply
27,256x = 42,218 × 42,218 - Step 4: Simplify right side
27,256x = 1,782,359,524 - Step 5: Solve for x
x = 1,782,359,524/27,256 - Step 6: Final answer
x = 65,393.29
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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.