Finding the Third Proportional to 22,802 and 33,415
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Solution
The third proportional to 22,802 and 33,415 is: 48,967.73
Step by Step Solution
- Step 1: Write the proportion equation
22,802 : 33,415 = 33,415 : x - Step 2: Convert to fraction form
22,802/33,415 = 33,415/x - Step 3: Cross multiply
22,802x = 33,415 × 33,415 - Step 4: Simplify right side
22,802x = 1,116,562,225 - Step 5: Solve for x
x = 1,116,562,225/22,802 - Step 6: Final answer
x = 48,967.73
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Why These Related Problems?
These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.