Finding the Third Proportional to 42,816 and 56,812
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Solution
The third proportional to 42,816 and 56,812 is: 75,383.11
Step by Step Solution
- Step 1: Write the proportion equation
42,816 : 56,812 = 56,812 : x - Step 2: Convert to fraction form
42,816/56,812 = 56,812/x - Step 3: Cross multiply
42,816x = 56,812 × 56,812 - Step 4: Simplify right side
42,816x = 3,227,603,344 - Step 5: Solve for x
x = 3,227,603,344/42,816 - Step 6: Final answer
x = 75,383.11
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Why These Related Problems?
These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.