Finding the Third Proportional to 46,046 and 67,546
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Solution
The third proportional to 46,046 and 67,546 is: 99,084.87
Step by Step Solution
- Step 1: Write the proportion equation
46,046 : 67,546 = 67,546 : x - Step 2: Convert to fraction form
46,046/67,546 = 67,546/x - Step 3: Cross multiply
46,046x = 67,546 × 67,546 - Step 4: Simplify right side
46,046x = 4,562,462,116 - Step 5: Solve for x
x = 4,562,462,116/46,046 - Step 6: Final answer
x = 99,084.87
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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.