Finding the Third Proportional to 37,518 and 81,948
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Solution
The third proportional to 37,518 and 81,948 is: 178,993.41
Step by Step Solution
- Step 1: Write the proportion equation
37,518 : 81,948 = 81,948 : x - Step 2: Convert to fraction form
37,518/81,948 = 81,948/x - Step 3: Cross multiply
37,518x = 81,948 × 81,948 - Step 4: Simplify right side
37,518x = 6,715,474,704 - Step 5: Solve for x
x = 6,715,474,704/37,518 - Step 6: Final answer
x = 178,993.41
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.