Finding the Third Proportional to 21,204 and 31,158
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Solution
The third proportional to 21,204 and 31,158 is: 45,784.80
Step by Step Solution
- Step 1: Write the proportion equation
21,204 : 31,158 = 31,158 : x - Step 2: Convert to fraction form
21,204/31,158 = 31,158/x - Step 3: Cross multiply
21,204x = 31,158 × 31,158 - Step 4: Simplify right side
21,204x = 970,820,964 - Step 5: Solve for x
x = 970,820,964/21,204 - Step 6: Final answer
x = 45,784.80
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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.