Finding the Third Proportional to 32,284 and 50,730
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Solution
The third proportional to 32,284 and 50,730 is: 79,715.43
Step by Step Solution
- Step 1: Write the proportion equation
32,284 : 50,730 = 50,730 : x - Step 2: Convert to fraction form
32,284/50,730 = 50,730/x - Step 3: Cross multiply
32,284x = 50,730 × 50,730 - Step 4: Simplify right side
32,284x = 2,573,532,900 - Step 5: Solve for x
x = 2,573,532,900/32,284 - Step 6: Final answer
x = 79,715.43
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Why These Related Problems?
These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.