Finding the Third Proportional to 32,820 and 50,916
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Solution
The third proportional to 32,820 and 50,916 is: 78,989.61
Step by Step Solution
- Step 1: Write the proportion equation
32,820 : 50,916 = 50,916 : x - Step 2: Convert to fraction form
32,820/50,916 = 50,916/x - Step 3: Cross multiply
32,820x = 50,916 × 50,916 - Step 4: Simplify right side
32,820x = 2,592,439,056 - Step 5: Solve for x
x = 2,592,439,056/32,820 - Step 6: Final answer
x = 78,989.61
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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.