Finding the Third Proportional to 17,625 and 23,497
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Solution
The third proportional to 17,625 and 23,497 is: 31,325.33
Step by Step Solution
- Step 1: Write the proportion equation
17,625 : 23,497 = 23,497 : x - Step 2: Convert to fraction form
17,625/23,497 = 23,497/x - Step 3: Cross multiply
17,625x = 23,497 × 23,497 - Step 4: Simplify right side
17,625x = 552,109,009 - Step 5: Solve for x
x = 552,109,009/17,625 - Step 6: Final answer
x = 31,325.33
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Why These Related Problems?
These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.