Finding the Third Proportional to 32,443 and 49,271
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Solution
The third proportional to 32,443 and 49,271 is: 74,827.59
Step by Step Solution
- Step 1: Write the proportion equation
32,443 : 49,271 = 49,271 : x - Step 2: Convert to fraction form
32,443/49,271 = 49,271/x - Step 3: Cross multiply
32,443x = 49,271 × 49,271 - Step 4: Simplify right side
32,443x = 2,427,631,441 - Step 5: Solve for x
x = 2,427,631,441/32,443 - Step 6: Final answer
x = 74,827.59
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Why These Related Problems?
These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.