Finding the Third Proportional to 23,297 and 32,934
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Solution
The third proportional to 23,297 and 32,934 is: 46,557.43
Step by Step Solution
- Step 1: Write the proportion equation
23,297 : 32,934 = 32,934 : x - Step 2: Convert to fraction form
23,297/32,934 = 32,934/x - Step 3: Cross multiply
23,297x = 32,934 × 32,934 - Step 4: Simplify right side
23,297x = 1,084,648,356 - Step 5: Solve for x
x = 1,084,648,356/23,297 - Step 6: Final answer
x = 46,557.43
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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.