Finding the Third Proportional to 49,566 and 70,657
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Solution
The third proportional to 49,566 and 70,657 is: 100,722.50
Step by Step Solution
- Step 1: Write the proportion equation
49,566 : 70,657 = 70,657 : x - Step 2: Convert to fraction form
49,566/70,657 = 70,657/x - Step 3: Cross multiply
49,566x = 70,657 × 70,657 - Step 4: Simplify right side
49,566x = 4,992,411,649 - Step 5: Solve for x
x = 4,992,411,649/49,566 - Step 6: Final answer
x = 100,722.50
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Why These Related Problems?
These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.