Finding the Third Proportional to 870 and 2,289
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Solution
The third proportional to 870 and 2,289 is: 6,022.44
Step by Step Solution
- Step 1: Write the proportion equation
870 : 2,289 = 2,289 : x - Step 2: Convert to fraction form
870/2,289 = 2,289/x - Step 3: Cross multiply
870x = 2,289 × 2,289 - Step 4: Simplify right side
870x = 5,239,521 - Step 5: Solve for x
x = 5,239,521/870 - Step 6: Final answer
x = 6,022.44
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Why These Related Problems?
These problems maintain the same ratio (2.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.