Finding the Third Proportional to 2,864.63 and 6,282.75
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Solution
The third proportional to 2,864.63 and 6,282.75 is: 13,779.45
Step by Step Solution
- Step 1: Write the proportion equation
2,864.63 : 6,282.75 = 6,282.75 : x - Step 2: Convert to fraction form
2,864.63/6,282.75 = 6,282.75/x - Step 3: Cross multiply
2,864.63x = 6,282.75 × 6,282.75 - Step 4: Simplify right side
2,864.63x = 39,472,947.56 - Step 5: Solve for x
x = 39,472,947.56/2,864.63 - Step 6: Final answer
x = 13,779.45
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.