Finding the Third Proportional to 32,449 and 69,570
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Solution
The third proportional to 32,449 and 69,570 is: 149,156.67
Step by Step Solution
- Step 1: Write the proportion equation
32,449 : 69,570 = 69,570 : x - Step 2: Convert to fraction form
32,449/69,570 = 69,570/x - Step 3: Cross multiply
32,449x = 69,570 × 69,570 - Step 4: Simplify right side
32,449x = 4,839,984,900 - Step 5: Solve for x
x = 4,839,984,900/32,449 - Step 6: Final answer
x = 149,156.67
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.