Finding the Third Proportional to 31,056 and 67,056
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Solution
The third proportional to 31,056 and 67,056 is: 144,787.07
Step by Step Solution
- Step 1: Write the proportion equation
31,056 : 67,056 = 67,056 : x - Step 2: Convert to fraction form
31,056/67,056 = 67,056/x - Step 3: Cross multiply
31,056x = 67,056 × 67,056 - Step 4: Simplify right side
31,056x = 4,496,507,136 - Step 5: Solve for x
x = 4,496,507,136/31,056 - Step 6: Final answer
x = 144,787.07
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.