Finding the Third Proportional to 34,454 and 50,314
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Solution
The third proportional to 34,454 and 50,314 is: 73,474.74
Step by Step Solution
- Step 1: Write the proportion equation
34,454 : 50,314 = 50,314 : x - Step 2: Convert to fraction form
34,454/50,314 = 50,314/x - Step 3: Cross multiply
34,454x = 50,314 × 50,314 - Step 4: Simplify right side
34,454x = 2,531,498,596 - Step 5: Solve for x
x = 2,531,498,596/34,454 - Step 6: Final answer
x = 73,474.74
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Why These Related Problems?
These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.