Finding the Third Proportional to 32,700 and 72,802
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Solution
The third proportional to 32,700 and 72,802 is: 162,083.52
Step by Step Solution
- Step 1: Write the proportion equation
32,700 : 72,802 = 72,802 : x - Step 2: Convert to fraction form
32,700/72,802 = 72,802/x - Step 3: Cross multiply
32,700x = 72,802 × 72,802 - Step 4: Simplify right side
32,700x = 5,300,131,204 - Step 5: Solve for x
x = 5,300,131,204/32,700 - Step 6: Final answer
x = 162,083.52
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Why These Related Problems?
These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.