Finding the Third Proportional to 13,534 and 19,891
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Solution
The third proportional to 13,534 and 19,891 is: 29,233.92
Step by Step Solution
- Step 1: Write the proportion equation
13,534 : 19,891 = 19,891 : x - Step 2: Convert to fraction form
13,534/19,891 = 19,891/x - Step 3: Cross multiply
13,534x = 19,891 × 19,891 - Step 4: Simplify right side
13,534x = 395,651,881 - Step 5: Solve for x
x = 395,651,881/13,534 - Step 6: Final answer
x = 29,233.92
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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.