Finding the Third Proportional to 864 and 2,334
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Solution
The third proportional to 864 and 2,334 is: 6,305.04
Step by Step Solution
- Step 1: Write the proportion equation
864 : 2,334 = 2,334 : x - Step 2: Convert to fraction form
864/2,334 = 2,334/x - Step 3: Cross multiply
864x = 2,334 × 2,334 - Step 4: Simplify right side
864x = 5,447,556 - Step 5: Solve for x
x = 5,447,556/864 - Step 6: Final answer
x = 6,305.04
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These problems maintain the same ratio (2.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.