Finding the Third Proportional to 51,994 and 83,733
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Solution
The third proportional to 51,994 and 83,733 is: 134,846.62
Step by Step Solution
- Step 1: Write the proportion equation
51,994 : 83,733 = 83,733 : x - Step 2: Convert to fraction form
51,994/83,733 = 83,733/x - Step 3: Cross multiply
51,994x = 83,733 × 83,733 - Step 4: Simplify right side
51,994x = 7,011,215,289 - Step 5: Solve for x
x = 7,011,215,289/51,994 - Step 6: Final answer
x = 134,846.62
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Why These Related Problems?
These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.