Finding the Third Proportional to 32,756 and 50,838
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Solution
The third proportional to 32,756 and 50,838 is: 78,901.64
Step by Step Solution
- Step 1: Write the proportion equation
32,756 : 50,838 = 50,838 : x - Step 2: Convert to fraction form
32,756/50,838 = 50,838/x - Step 3: Cross multiply
32,756x = 50,838 × 50,838 - Step 4: Simplify right side
32,756x = 2,584,502,244 - Step 5: Solve for x
x = 2,584,502,244/32,756 - Step 6: Final answer
x = 78,901.64
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Why These Related Problems?
These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.