Finding the Third Proportional to 45,728 and 64,056
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Solution
The third proportional to 45,728 and 64,056 is: 89,729.95
Step by Step Solution
- Step 1: Write the proportion equation
45,728 : 64,056 = 64,056 : x - Step 2: Convert to fraction form
45,728/64,056 = 64,056/x - Step 3: Cross multiply
45,728x = 64,056 × 64,056 - Step 4: Simplify right side
45,728x = 4,103,171,136 - Step 5: Solve for x
x = 4,103,171,136/45,728 - Step 6: Final answer
x = 89,729.95
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Why These Related Problems?
These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.