Finding the Third Proportional to 27,743.50 and 42,910
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Solution
The third proportional to 27,743.50 and 42,910 is: 66,367.55
Step by Step Solution
- Step 1: Write the proportion equation
27,743.50 : 42,910 = 42,910 : x - Step 2: Convert to fraction form
27,743.50/42,910 = 42,910/x - Step 3: Cross multiply
27,743.50x = 42,910 × 42,910 - Step 4: Simplify right side
27,743.50x = 1,841,268,100 - Step 5: Solve for x
x = 1,841,268,100/27,743.50 - Step 6: Final answer
x = 66,367.55
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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.