Finding the Third Proportional to 17,000 and 23,897
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Solution
The third proportional to 17,000 and 23,897 is: 33,592.15
Step by Step Solution
- Step 1: Write the proportion equation
17,000 : 23,897 = 23,897 : x - Step 2: Convert to fraction form
17,000/23,897 = 23,897/x - Step 3: Cross multiply
17,000x = 23,897 × 23,897 - Step 4: Simplify right side
17,000x = 571,066,609 - Step 5: Solve for x
x = 571,066,609/17,000 - Step 6: Final answer
x = 33,592.15
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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.