Finding the Third Proportional to 13,650 and 29,846
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Solution
The third proportional to 13,650 and 29,846 is: 65,258.88
Step by Step Solution
- Step 1: Write the proportion equation
13,650 : 29,846 = 29,846 : x - Step 2: Convert to fraction form
13,650/29,846 = 29,846/x - Step 3: Cross multiply
13,650x = 29,846 × 29,846 - Step 4: Simplify right side
13,650x = 890,783,716 - Step 5: Solve for x
x = 890,783,716/13,650 - Step 6: Final answer
x = 65,258.88
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.