Finding the Third Proportional to 33,103.50 and 42,504
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Solution
The third proportional to 33,103.50 and 42,504 is: 54,573.99
Step by Step Solution
- Step 1: Write the proportion equation
33,103.50 : 42,504 = 42,504 : x - Step 2: Convert to fraction form
33,103.50/42,504 = 42,504/x - Step 3: Cross multiply
33,103.50x = 42,504 × 42,504 - Step 4: Simplify right side
33,103.50x = 1,806,590,016 - Step 5: Solve for x
x = 1,806,590,016/33,103.50 - Step 6: Final answer
x = 54,573.99
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Why These Related Problems?
These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.