Finding the Third Proportional to 21,384 and 31,293
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Solution
The third proportional to 21,384 and 31,293 is: 45,793.67
Step by Step Solution
- Step 1: Write the proportion equation
21,384 : 31,293 = 31,293 : x - Step 2: Convert to fraction form
21,384/31,293 = 31,293/x - Step 3: Cross multiply
21,384x = 31,293 × 31,293 - Step 4: Simplify right side
21,384x = 979,251,849 - Step 5: Solve for x
x = 979,251,849/21,384 - Step 6: Final answer
x = 45,793.67
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Why These Related Problems?
These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.