Finding the Third Proportional to 46,828 and 103,504
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Solution
The third proportional to 46,828 and 103,504 is: 228,775.05
Step by Step Solution
- Step 1: Write the proportion equation
46,828 : 103,504 = 103,504 : x - Step 2: Convert to fraction form
46,828/103,504 = 103,504/x - Step 3: Cross multiply
46,828x = 103,504 × 103,504 - Step 4: Simplify right side
46,828x = 10,713,078,016 - Step 5: Solve for x
x = 10,713,078,016/46,828 - Step 6: Final answer
x = 228,775.05
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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.