Finding the Third Proportional to 32,004 and 50,871
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Solution
The third proportional to 32,004 and 50,871 is: 80,860.47
Step by Step Solution
- Step 1: Write the proportion equation
32,004 : 50,871 = 50,871 : x - Step 2: Convert to fraction form
32,004/50,871 = 50,871/x - Step 3: Cross multiply
32,004x = 50,871 × 50,871 - Step 4: Simplify right side
32,004x = 2,587,858,641 - Step 5: Solve for x
x = 2,587,858,641/32,004 - Step 6: Final answer
x = 80,860.47
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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.