Finding the Third Proportional to 21,522.50 and 31,427
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Solution
The third proportional to 21,522.50 and 31,427 is: 45,889.48
Step by Step Solution
- Step 1: Write the proportion equation
21,522.50 : 31,427 = 31,427 : x - Step 2: Convert to fraction form
21,522.50/31,427 = 31,427/x - Step 3: Cross multiply
21,522.50x = 31,427 × 31,427 - Step 4: Simplify right side
21,522.50x = 987,656,329 - Step 5: Solve for x
x = 987,656,329/21,522.50 - Step 6: Final answer
x = 45,889.48
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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.