Finding the Third Proportional to 31,384 and 43,897
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Solution
The third proportional to 31,384 and 43,897 is: 61,399.01
Step by Step Solution
- Step 1: Write the proportion equation
31,384 : 43,897 = 43,897 : x - Step 2: Convert to fraction form
31,384/43,897 = 43,897/x - Step 3: Cross multiply
31,384x = 43,897 × 43,897 - Step 4: Simplify right side
31,384x = 1,926,946,609 - Step 5: Solve for x
x = 1,926,946,609/31,384 - Step 6: Final answer
x = 61,399.01
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Why These Related Problems?
These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.