Finding the Third Proportional to 17,434 and 37,738
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Solution
The third proportional to 17,434 and 37,738 is: 81,688.46
Step by Step Solution
- Step 1: Write the proportion equation
17,434 : 37,738 = 37,738 : x - Step 2: Convert to fraction form
17,434/37,738 = 37,738/x - Step 3: Cross multiply
17,434x = 37,738 × 37,738 - Step 4: Simplify right side
17,434x = 1,424,156,644 - Step 5: Solve for x
x = 1,424,156,644/17,434 - Step 6: Final answer
x = 81,688.46
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.