Finding the Third Proportional to 13,894 and 20,842
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Solution
The third proportional to 13,894 and 20,842 is: 31,264.50
Step by Step Solution
- Step 1: Write the proportion equation
13,894 : 20,842 = 20,842 : x - Step 2: Convert to fraction form
13,894/20,842 = 20,842/x - Step 3: Cross multiply
13,894x = 20,842 × 20,842 - Step 4: Simplify right side
13,894x = 434,388,964 - Step 5: Solve for x
x = 434,388,964/13,894 - Step 6: Final answer
x = 31,264.50
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.