Finding the Third Proportional to 20,922 and 32,051
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Solution
The third proportional to 20,922 and 32,051 is: 49,099.83
Step by Step Solution
- Step 1: Write the proportion equation
20,922 : 32,051 = 32,051 : x - Step 2: Convert to fraction form
20,922/32,051 = 32,051/x - Step 3: Cross multiply
20,922x = 32,051 × 32,051 - Step 4: Simplify right side
20,922x = 1,027,266,601 - Step 5: Solve for x
x = 1,027,266,601/20,922 - Step 6: Final answer
x = 49,099.83
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Why These Related Problems?
These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.