Finding the Third Proportional to 22,728 and 32,076
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Solution
The third proportional to 22,728 and 32,076 is: 45,268.82
Step by Step Solution
- Step 1: Write the proportion equation
22,728 : 32,076 = 32,076 : x - Step 2: Convert to fraction form
22,728/32,076 = 32,076/x - Step 3: Cross multiply
22,728x = 32,076 × 32,076 - Step 4: Simplify right side
22,728x = 1,028,869,776 - Step 5: Solve for x
x = 1,028,869,776/22,728 - Step 6: Final answer
x = 45,268.82
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Why These Related Problems?
These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.