Finding the Third Proportional to 37,287 and 54,170
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Solution
The third proportional to 37,287 and 54,170 is: 78,697.37
Step by Step Solution
- Step 1: Write the proportion equation
37,287 : 54,170 = 54,170 : x - Step 2: Convert to fraction form
37,287/54,170 = 54,170/x - Step 3: Cross multiply
37,287x = 54,170 × 54,170 - Step 4: Simplify right side
37,287x = 2,934,388,900 - Step 5: Solve for x
x = 2,934,388,900/37,287 - Step 6: Final answer
x = 78,697.37
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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.