Finding the Third Proportional to 31,212 and 57,996
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Solution
The third proportional to 31,212 and 57,996 is: 107,764.19
Step by Step Solution
- Step 1: Write the proportion equation
31,212 : 57,996 = 57,996 : x - Step 2: Convert to fraction form
31,212/57,996 = 57,996/x - Step 3: Cross multiply
31,212x = 57,996 × 57,996 - Step 4: Simplify right side
31,212x = 3,363,536,016 - Step 5: Solve for x
x = 3,363,536,016/31,212 - Step 6: Final answer
x = 107,764.19
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These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.