Finding the Third Proportional to 23,068 and 33,782
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Solution
The third proportional to 23,068 and 33,782 is: 49,472.15
Step by Step Solution
- Step 1: Write the proportion equation
23,068 : 33,782 = 33,782 : x - Step 2: Convert to fraction form
23,068/33,782 = 33,782/x - Step 3: Cross multiply
23,068x = 33,782 × 33,782 - Step 4: Simplify right side
23,068x = 1,141,223,524 - Step 5: Solve for x
x = 1,141,223,524/23,068 - Step 6: Final answer
x = 49,472.15
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Why These Related Problems?
These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.