Finding the Third Proportional to 1,107.84 and 2,529.14
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Solution
The third proportional to 1,107.84 and 2,529.14 is: 5,773.88
Step by Step Solution
- Step 1: Write the proportion equation
1,107.84 : 2,529.14 = 2,529.14 : x - Step 2: Convert to fraction form
1,107.84/2,529.14 = 2,529.14/x - Step 3: Cross multiply
1,107.84x = 2,529.14 × 2,529.14 - Step 4: Simplify right side
1,107.84x = 6,396,552.30 - Step 5: Solve for x
x = 6,396,552.30/1,107.84 - Step 6: Final answer
x = 5,773.88
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These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.