Finding the Third Proportional to 47,492 and 73,832
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Solution
The third proportional to 47,492 and 73,832 is: 114,780.68
Step by Step Solution
- Step 1: Write the proportion equation
47,492 : 73,832 = 73,832 : x - Step 2: Convert to fraction form
47,492/73,832 = 73,832/x - Step 3: Cross multiply
47,492x = 73,832 × 73,832 - Step 4: Simplify right side
47,492x = 5,451,164,224 - Step 5: Solve for x
x = 5,451,164,224/47,492 - Step 6: Final answer
x = 114,780.68
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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.