Finding the Third Proportional to 32,122 and 42,621
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Solution
The third proportional to 32,122 and 42,621 is: 56,551.57
Step by Step Solution
- Step 1: Write the proportion equation
32,122 : 42,621 = 42,621 : x - Step 2: Convert to fraction form
32,122/42,621 = 42,621/x - Step 3: Cross multiply
32,122x = 42,621 × 42,621 - Step 4: Simplify right side
32,122x = 1,816,549,641 - Step 5: Solve for x
x = 1,816,549,641/32,122 - Step 6: Final answer
x = 56,551.57
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Why These Related Problems?
These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.