Finding the Third Proportional to 32,871 and 53,670
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Solution
The third proportional to 32,871 and 53,670 is: 87,629.49
Step by Step Solution
- Step 1: Write the proportion equation
32,871 : 53,670 = 53,670 : x - Step 2: Convert to fraction form
32,871/53,670 = 53,670/x - Step 3: Cross multiply
32,871x = 53,670 × 53,670 - Step 4: Simplify right side
32,871x = 2,880,468,900 - Step 5: Solve for x
x = 2,880,468,900/32,871 - Step 6: Final answer
x = 87,629.49
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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.