Finding the Third Proportional to 2,949.75 and 6,827.63
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Solution
The third proportional to 2,949.75 and 6,827.63 is: 15,803.53
Step by Step Solution
- Step 1: Write the proportion equation
2,949.75 : 6,827.63 = 6,827.63 : x - Step 2: Convert to fraction form
2,949.75/6,827.63 = 6,827.63/x - Step 3: Cross multiply
2,949.75x = 6,827.63 × 6,827.63 - Step 4: Simplify right side
2,949.75x = 46,616,463.14 - Step 5: Solve for x
x = 46,616,463.14/2,949.75 - Step 6: Final answer
x = 15,803.53
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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.