Finding the Third Proportional to 42,381.50 and 57,494
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Solution
The third proportional to 42,381.50 and 57,494 is: 77,995.35
Step by Step Solution
- Step 1: Write the proportion equation
42,381.50 : 57,494 = 57,494 : x - Step 2: Convert to fraction form
42,381.50/57,494 = 57,494/x - Step 3: Cross multiply
42,381.50x = 57,494 × 57,494 - Step 4: Simplify right side
42,381.50x = 3,305,560,036 - Step 5: Solve for x
x = 3,305,560,036/42,381.50 - Step 6: Final answer
x = 77,995.35
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Why These Related Problems?
These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.