Finding the Third Proportional to 9,969 and 23,500
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Solution
The third proportional to 9,969 and 23,500 is: 55,396.73
Step by Step Solution
- Step 1: Write the proportion equation
9,969 : 23,500 = 23,500 : x - Step 2: Convert to fraction form
9,969/23,500 = 23,500/x - Step 3: Cross multiply
9,969x = 23,500 × 23,500 - Step 4: Simplify right side
9,969x = 552,250,000 - Step 5: Solve for x
x = 552,250,000/9,969 - Step 6: Final answer
x = 55,396.73
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Why These Related Problems?
These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.