Finding the Third Proportional to 13,696 and 21,840
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Solution
The third proportional to 13,696 and 21,840 is: 34,826.64
Step by Step Solution
- Step 1: Write the proportion equation
13,696 : 21,840 = 21,840 : x - Step 2: Convert to fraction form
13,696/21,840 = 21,840/x - Step 3: Cross multiply
13,696x = 21,840 × 21,840 - Step 4: Simplify right side
13,696x = 476,985,600 - Step 5: Solve for x
x = 476,985,600/13,696 - Step 6: Final answer
x = 34,826.64
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Why These Related Problems?
These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.