Finding the Third Proportional to 1,566.84 and 2,883.09
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Solution
The third proportional to 1,566.84 and 2,883.09 is: 5,305.08
Step by Step Solution
- Step 1: Write the proportion equation
1,566.84 : 2,883.09 = 2,883.09 : x - Step 2: Convert to fraction form
1,566.84/2,883.09 = 2,883.09/x - Step 3: Cross multiply
1,566.84x = 2,883.09 × 2,883.09 - Step 4: Simplify right side
1,566.84x = 8,312,229.57 - Step 5: Solve for x
x = 8,312,229.57/1,566.84 - Step 6: Final answer
x = 5,305.08
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Why These Related Problems?
These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.