Finding the Third Proportional to 46,470 and 69,810
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Solution
The third proportional to 46,470 and 69,810 is: 104,872.74
Step by Step Solution
- Step 1: Write the proportion equation
46,470 : 69,810 = 69,810 : x - Step 2: Convert to fraction form
46,470/69,810 = 69,810/x - Step 3: Cross multiply
46,470x = 69,810 × 69,810 - Step 4: Simplify right side
46,470x = 4,873,436,100 - Step 5: Solve for x
x = 4,873,436,100/46,470 - Step 6: Final answer
x = 104,872.74
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.