Finding the Third Proportional to 9,912 and 23,932
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Solution
The third proportional to 9,912 and 23,932 is: 57,782.55
Step by Step Solution
- Step 1: Write the proportion equation
9,912 : 23,932 = 23,932 : x - Step 2: Convert to fraction form
9,912/23,932 = 23,932/x - Step 3: Cross multiply
9,912x = 23,932 × 23,932 - Step 4: Simplify right side
9,912x = 572,740,624 - Step 5: Solve for x
x = 572,740,624/9,912 - Step 6: Final answer
x = 57,782.55
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Why These Related Problems?
These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.