Finding the Third Proportional to 17,628 and 37,074
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Solution
The third proportional to 17,628 and 37,074 is: 77,971.49
Step by Step Solution
- Step 1: Write the proportion equation
17,628 : 37,074 = 37,074 : x - Step 2: Convert to fraction form
17,628/37,074 = 37,074/x - Step 3: Cross multiply
17,628x = 37,074 × 37,074 - Step 4: Simplify right side
17,628x = 1,374,481,476 - Step 5: Solve for x
x = 1,374,481,476/17,628 - Step 6: Final answer
x = 77,971.49
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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.