Finding the Third Proportional to 22,526.25 and 32,448
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Solution
The third proportional to 22,526.25 and 32,448 is: 46,739.81
Step by Step Solution
- Step 1: Write the proportion equation
22,526.25 : 32,448 = 32,448 : x - Step 2: Convert to fraction form
22,526.25/32,448 = 32,448/x - Step 3: Cross multiply
22,526.25x = 32,448 × 32,448 - Step 4: Simplify right side
22,526.25x = 1,052,872,704 - Step 5: Solve for x
x = 1,052,872,704/22,526.25 - Step 6: Final answer
x = 46,739.81
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.