Finding the Third Proportional to 23,000 and 33,501
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Solution
The third proportional to 23,000 and 33,501 is: 48,796.39
Step by Step Solution
- Step 1: Write the proportion equation
23,000 : 33,501 = 33,501 : x - Step 2: Convert to fraction form
23,000/33,501 = 33,501/x - Step 3: Cross multiply
23,000x = 33,501 × 33,501 - Step 4: Simplify right side
23,000x = 1,122,317,001 - Step 5: Solve for x
x = 1,122,317,001/23,000 - Step 6: Final answer
x = 48,796.39
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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.