Finding the Third Proportional to 17,442 and 37,674
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Solution
The third proportional to 17,442 and 37,674 is: 81,374.28
Step by Step Solution
- Step 1: Write the proportion equation
17,442 : 37,674 = 37,674 : x - Step 2: Convert to fraction form
17,442/37,674 = 37,674/x - Step 3: Cross multiply
17,442x = 37,674 × 37,674 - Step 4: Simplify right side
17,442x = 1,419,330,276 - Step 5: Solve for x
x = 1,419,330,276/17,442 - Step 6: Final answer
x = 81,374.28
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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.