Finding the Third Proportional to 2,846 and 6,566
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Solution
The third proportional to 2,846 and 6,566 is: 15,148.40
Step by Step Solution
- Step 1: Write the proportion equation
2,846 : 6,566 = 6,566 : x - Step 2: Convert to fraction form
2,846/6,566 = 6,566/x - Step 3: Cross multiply
2,846x = 6,566 × 6,566 - Step 4: Simplify right side
2,846x = 43,112,356 - Step 5: Solve for x
x = 43,112,356/2,846 - Step 6: Final answer
x = 15,148.40
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Why These Related Problems?
These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.