Finding the Third Proportional to 36,476 and 57,684
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Solution
The third proportional to 36,476 and 57,684 is: 91,222.83
Step by Step Solution
- Step 1: Write the proportion equation
36,476 : 57,684 = 57,684 : x - Step 2: Convert to fraction form
36,476/57,684 = 57,684/x - Step 3: Cross multiply
36,476x = 57,684 × 57,684 - Step 4: Simplify right side
36,476x = 3,327,443,856 - Step 5: Solve for x
x = 3,327,443,856/36,476 - Step 6: Final answer
x = 91,222.83
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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.