Finding the Third Proportional to 1,630.97 and 1,803.09
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Solution
The third proportional to 1,630.97 and 1,803.09 is: 1,993.38
Step by Step Solution
- Step 1: Write the proportion equation
1,630.97 : 1,803.09 = 1,803.09 : x - Step 2: Convert to fraction form
1,630.97/1,803.09 = 1,803.09/x - Step 3: Cross multiply
1,630.97x = 1,803.09 × 1,803.09 - Step 4: Simplify right side
1,630.97x = 3,251,147.07 - Step 5: Solve for x
x = 3,251,147.07/1,630.97 - Step 6: Final answer
x = 1,993.38
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These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.