Finding the Third Proportional to 11,284 and 23,300
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Solution
The third proportional to 11,284 and 23,300 is: 48,111.49
Step by Step Solution
- Step 1: Write the proportion equation
11,284 : 23,300 = 23,300 : x - Step 2: Convert to fraction form
11,284/23,300 = 23,300/x - Step 3: Cross multiply
11,284x = 23,300 × 23,300 - Step 4: Simplify right side
11,284x = 542,890,000 - Step 5: Solve for x
x = 542,890,000/11,284 - Step 6: Final answer
x = 48,111.49
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Why These Related Problems?
These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.