Finding the Third Proportional to 32,166 and 49,497
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Solution
The third proportional to 32,166 and 49,497 is: 76,165.92
Step by Step Solution
- Step 1: Write the proportion equation
32,166 : 49,497 = 49,497 : x - Step 2: Convert to fraction form
32,166/49,497 = 49,497/x - Step 3: Cross multiply
32,166x = 49,497 × 49,497 - Step 4: Simplify right side
32,166x = 2,449,953,009 - Step 5: Solve for x
x = 2,449,953,009/32,166 - Step 6: Final answer
x = 76,165.92
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Why These Related Problems?
These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.