Finding the Third Proportional to 30,870 and 43,713
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Solution
The third proportional to 30,870 and 43,713 is: 61,899.14
Step by Step Solution
- Step 1: Write the proportion equation
30,870 : 43,713 = 43,713 : x - Step 2: Convert to fraction form
30,870/43,713 = 43,713/x - Step 3: Cross multiply
30,870x = 43,713 × 43,713 - Step 4: Simplify right side
30,870x = 1,910,826,369 - Step 5: Solve for x
x = 1,910,826,369/30,870 - Step 6: Final answer
x = 61,899.14
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Why These Related Problems?
These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.