Finding the Third Proportional to 30,357 and 65,898
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Solution
The third proportional to 30,357 and 65,898 is: 143,049.26
Step by Step Solution
- Step 1: Write the proportion equation
30,357 : 65,898 = 65,898 : x - Step 2: Convert to fraction form
30,357/65,898 = 65,898/x - Step 3: Cross multiply
30,357x = 65,898 × 65,898 - Step 4: Simplify right side
30,357x = 4,342,546,404 - Step 5: Solve for x
x = 4,342,546,404/30,357 - Step 6: Final answer
x = 143,049.26
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.