Finding the Third Proportional to 48,300 and 101,844
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Solution
The third proportional to 48,300 and 101,844 is: 214,745.35
Step by Step Solution
- Step 1: Write the proportion equation
48,300 : 101,844 = 101,844 : x - Step 2: Convert to fraction form
48,300/101,844 = 101,844/x - Step 3: Cross multiply
48,300x = 101,844 × 101,844 - Step 4: Simplify right side
48,300x = 10,372,200,336 - Step 5: Solve for x
x = 10,372,200,336/48,300 - Step 6: Final answer
x = 214,745.35
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Why These Related Problems?
These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.