Finding the Third Proportional to 20,870 and 31,490
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Solution
The third proportional to 20,870 and 31,490 is: 47,514.14
Step by Step Solution
- Step 1: Write the proportion equation
20,870 : 31,490 = 31,490 : x - Step 2: Convert to fraction form
20,870/31,490 = 31,490/x - Step 3: Cross multiply
20,870x = 31,490 × 31,490 - Step 4: Simplify right side
20,870x = 991,620,100 - Step 5: Solve for x
x = 991,620,100/20,870 - Step 6: Final answer
x = 47,514.14
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Why These Related Problems?
These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.