Finding the Third Proportional to 22,496 and 32,926
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Solution
The third proportional to 22,496 and 32,926 is: 48,191.74
Step by Step Solution
- Step 1: Write the proportion equation
22,496 : 32,926 = 32,926 : x - Step 2: Convert to fraction form
22,496/32,926 = 32,926/x - Step 3: Cross multiply
22,496x = 32,926 × 32,926 - Step 4: Simplify right side
22,496x = 1,084,121,476 - Step 5: Solve for x
x = 1,084,121,476/22,496 - Step 6: Final answer
x = 48,191.74
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Why These Related Problems?
These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.