Finding the Third Proportional to 40,310 and 57,314
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Solution
The third proportional to 40,310 and 57,314 is: 81,490.81
Step by Step Solution
- Step 1: Write the proportion equation
40,310 : 57,314 = 57,314 : x - Step 2: Convert to fraction form
40,310/57,314 = 57,314/x - Step 3: Cross multiply
40,310x = 57,314 × 57,314 - Step 4: Simplify right side
40,310x = 3,284,894,596 - Step 5: Solve for x
x = 3,284,894,596/40,310 - Step 6: Final answer
x = 81,490.81
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Why These Related Problems?
These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.