Finding the Third Proportional to 21,877.50 and 33,942
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Solution
The third proportional to 21,877.50 and 33,942 is: 52,659.55
Step by Step Solution
- Step 1: Write the proportion equation
21,877.50 : 33,942 = 33,942 : x - Step 2: Convert to fraction form
21,877.50/33,942 = 33,942/x - Step 3: Cross multiply
21,877.50x = 33,942 × 33,942 - Step 4: Simplify right side
21,877.50x = 1,152,059,364 - Step 5: Solve for x
x = 1,152,059,364/21,877.50 - Step 6: Final answer
x = 52,659.55
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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.