Finding the Third Proportional to 971 and 2,300
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Solution
The third proportional to 971 and 2,300 is: 5,447.99
Step by Step Solution
- Step 1: Write the proportion equation
971 : 2,300 = 2,300 : x - Step 2: Convert to fraction form
971/2,300 = 2,300/x - Step 3: Cross multiply
971x = 2,300 × 2,300 - Step 4: Simplify right side
971x = 5,290,000 - Step 5: Solve for x
x = 5,290,000/971 - Step 6: Final answer
x = 5,447.99
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These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.