Finding the Third Proportional to 5,781.69 and 12,646.44
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Solution
The third proportional to 5,781.69 and 12,646.44 is: 27,661.88
Step by Step Solution
- Step 1: Write the proportion equation
5,781.69 : 12,646.44 = 12,646.44 : x - Step 2: Convert to fraction form
5,781.69/12,646.44 = 12,646.44/x - Step 3: Cross multiply
5,781.69x = 12,646.44 × 12,646.44 - Step 4: Simplify right side
5,781.69x = 159,932,480.24 - Step 5: Solve for x
x = 159,932,480.24/5,781.69 - Step 6: Final answer
x = 27,661.88
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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.