Finding the Third Proportional to 45,686 and 71,607
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Solution
The third proportional to 45,686 and 71,607 is: 112,234.87
Step by Step Solution
- Step 1: Write the proportion equation
45,686 : 71,607 = 71,607 : x - Step 2: Convert to fraction form
45,686/71,607 = 71,607/x - Step 3: Cross multiply
45,686x = 71,607 × 71,607 - Step 4: Simplify right side
45,686x = 5,127,562,449 - Step 5: Solve for x
x = 5,127,562,449/45,686 - Step 6: Final answer
x = 112,234.87
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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.