Finding the Third Proportional to 1,730 and 3,694
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Solution
The third proportional to 1,730 and 3,694 is: 7,887.65
Step by Step Solution
- Step 1: Write the proportion equation
1,730 : 3,694 = 3,694 : x - Step 2: Convert to fraction form
1,730/3,694 = 3,694/x - Step 3: Cross multiply
1,730x = 3,694 × 3,694 - Step 4: Simplify right side
1,730x = 13,645,636 - Step 5: Solve for x
x = 13,645,636/1,730 - Step 6: Final answer
x = 7,887.65
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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.