Finding the Third Proportional to 21,285 and 31,309
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Solution
The third proportional to 21,285 and 31,309 is: 46,053.72
Step by Step Solution
- Step 1: Write the proportion equation
21,285 : 31,309 = 31,309 : x - Step 2: Convert to fraction form
21,285/31,309 = 31,309/x - Step 3: Cross multiply
21,285x = 31,309 × 31,309 - Step 4: Simplify right side
21,285x = 980,253,481 - Step 5: Solve for x
x = 980,253,481/21,285 - Step 6: Final answer
x = 46,053.72
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Why These Related Problems?
These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.