Finding the Third Proportional to 31,818 and 71,887
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Solution
The third proportional to 31,818 and 71,887 is: 162,415.64
Step by Step Solution
- Step 1: Write the proportion equation
31,818 : 71,887 = 71,887 : x - Step 2: Convert to fraction form
31,818/71,887 = 71,887/x - Step 3: Cross multiply
31,818x = 71,887 × 71,887 - Step 4: Simplify right side
31,818x = 5,167,740,769 - Step 5: Solve for x
x = 5,167,740,769/31,818 - Step 6: Final answer
x = 162,415.64
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Why These Related Problems?
These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.