Finding the Third Proportional to 40,096 and 84,000
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Solution
The third proportional to 40,096 and 84,000 is: 175,977.65
Step by Step Solution
- Step 1: Write the proportion equation
40,096 : 84,000 = 84,000 : x - Step 2: Convert to fraction form
40,096/84,000 = 84,000/x - Step 3: Cross multiply
40,096x = 84,000 × 84,000 - Step 4: Simplify right side
40,096x = 7,056,000,000 - Step 5: Solve for x
x = 7,056,000,000/40,096 - Step 6: Final answer
x = 175,977.65
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Why These Related Problems?
These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.