Finding the Third Proportional to 1,497 and 1,803
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Solution
The third proportional to 1,497 and 1,803 is: 2,171.55
Step by Step Solution
- Step 1: Write the proportion equation
1,497 : 1,803 = 1,803 : x - Step 2: Convert to fraction form
1,497/1,803 = 1,803/x - Step 3: Cross multiply
1,497x = 1,803 × 1,803 - Step 4: Simplify right side
1,497x = 3,250,809 - Step 5: Solve for x
x = 3,250,809/1,497 - Step 6: Final answer
x = 2,171.55
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These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.