Finding the Third Proportional to 23,500 and 32,226
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Solution
The third proportional to 23,500 and 32,226 is: 44,192.13
Step by Step Solution
- Step 1: Write the proportion equation
23,500 : 32,226 = 32,226 : x - Step 2: Convert to fraction form
23,500/32,226 = 32,226/x - Step 3: Cross multiply
23,500x = 32,226 × 32,226 - Step 4: Simplify right side
23,500x = 1,038,515,076 - Step 5: Solve for x
x = 1,038,515,076/23,500 - Step 6: Final answer
x = 44,192.13
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Why These Related Problems?
These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.