Finding the Third Proportional to 13,790 and 21,846
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Solution
The third proportional to 13,790 and 21,846 is: 34,608.25
Step by Step Solution
- Step 1: Write the proportion equation
13,790 : 21,846 = 21,846 : x - Step 2: Convert to fraction form
13,790/21,846 = 21,846/x - Step 3: Cross multiply
13,790x = 21,846 × 21,846 - Step 4: Simplify right side
13,790x = 477,247,716 - Step 5: Solve for x
x = 477,247,716/13,790 - Step 6: Final answer
x = 34,608.25
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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.