Finding the Third Proportional to 46,440 and 83,664
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Solution
The third proportional to 46,440 and 83,664 is: 150,724.91
Step by Step Solution
- Step 1: Write the proportion equation
46,440 : 83,664 = 83,664 : x - Step 2: Convert to fraction form
46,440/83,664 = 83,664/x - Step 3: Cross multiply
46,440x = 83,664 × 83,664 - Step 4: Simplify right side
46,440x = 6,999,664,896 - Step 5: Solve for x
x = 6,999,664,896/46,440 - Step 6: Final answer
x = 150,724.91
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Why These Related Problems?
These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.