Finding the Third Proportional to 1,768 and 3,864
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Solution
The third proportional to 1,768 and 3,864 is: 8,444.85
Step by Step Solution
- Step 1: Write the proportion equation
1,768 : 3,864 = 3,864 : x - Step 2: Convert to fraction form
1,768/3,864 = 3,864/x - Step 3: Cross multiply
1,768x = 3,864 × 3,864 - Step 4: Simplify right side
1,768x = 14,930,496 - Step 5: Solve for x
x = 14,930,496/1,768 - Step 6: Final answer
x = 8,444.85
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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.