Finding the Third Proportional to 21,200 and 31,150
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Solution
The third proportional to 21,200 and 31,150 is: 45,769.93
Step by Step Solution
- Step 1: Write the proportion equation
21,200 : 31,150 = 31,150 : x - Step 2: Convert to fraction form
21,200/31,150 = 31,150/x - Step 3: Cross multiply
21,200x = 31,150 × 31,150 - Step 4: Simplify right side
21,200x = 970,322,500 - Step 5: Solve for x
x = 970,322,500/21,200 - Step 6: Final answer
x = 45,769.93
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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.