Finding the Third Proportional to 1,604 and 3,496
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Solution
The third proportional to 1,604 and 3,496 is: 7,619.71
Step by Step Solution
- Step 1: Write the proportion equation
1,604 : 3,496 = 3,496 : x - Step 2: Convert to fraction form
1,604/3,496 = 3,496/x - Step 3: Cross multiply
1,604x = 3,496 × 3,496 - Step 4: Simplify right side
1,604x = 12,222,016 - Step 5: Solve for x
x = 12,222,016/1,604 - Step 6: Final answer
x = 7,619.71
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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.