Finding the Third Proportional to 21,878 and 32,837
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Solution
The third proportional to 21,878 and 32,837 is: 49,285.52
Step by Step Solution
- Step 1: Write the proportion equation
21,878 : 32,837 = 32,837 : x - Step 2: Convert to fraction form
21,878/32,837 = 32,837/x - Step 3: Cross multiply
21,878x = 32,837 × 32,837 - Step 4: Simplify right side
21,878x = 1,078,268,569 - Step 5: Solve for x
x = 1,078,268,569/21,878 - Step 6: Final answer
x = 49,285.52
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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.