Finding the Third Proportional to 23,290 and 32,922
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Solution
The third proportional to 23,290 and 32,922 is: 46,537.49
Step by Step Solution
- Step 1: Write the proportion equation
23,290 : 32,922 = 32,922 : x - Step 2: Convert to fraction form
23,290/32,922 = 32,922/x - Step 3: Cross multiply
23,290x = 32,922 × 32,922 - Step 4: Simplify right side
23,290x = 1,083,858,084 - Step 5: Solve for x
x = 1,083,858,084/23,290 - Step 6: Final answer
x = 46,537.49
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Why These Related Problems?
These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.