Finding the Third Proportional to 37,287 and 54,830
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Solution
The third proportional to 37,287 and 54,830 is: 80,626.73
Step by Step Solution
- Step 1: Write the proportion equation
37,287 : 54,830 = 54,830 : x - Step 2: Convert to fraction form
37,287/54,830 = 54,830/x - Step 3: Cross multiply
37,287x = 54,830 × 54,830 - Step 4: Simplify right side
37,287x = 3,006,328,900 - Step 5: Solve for x
x = 3,006,328,900/37,287 - Step 6: Final answer
x = 80,626.73
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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.