Finding the Third Proportional to 32,798 and 71,900
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Solution
The third proportional to 32,798 and 71,900 is: 157,619.67
Step by Step Solution
- Step 1: Write the proportion equation
32,798 : 71,900 = 71,900 : x - Step 2: Convert to fraction form
32,798/71,900 = 71,900/x - Step 3: Cross multiply
32,798x = 71,900 × 71,900 - Step 4: Simplify right side
32,798x = 5,169,610,000 - Step 5: Solve for x
x = 5,169,610,000/32,798 - Step 6: Final answer
x = 157,619.67
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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.