Finding the Third Proportional to 2,242 and 3,599
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Solution
The third proportional to 2,242 and 3,599 is: 5,777.34
Step by Step Solution
- Step 1: Write the proportion equation
2,242 : 3,599 = 3,599 : x - Step 2: Convert to fraction form
2,242/3,599 = 3,599/x - Step 3: Cross multiply
2,242x = 3,599 × 3,599 - Step 4: Simplify right side
2,242x = 12,952,801 - Step 5: Solve for x
x = 12,952,801/2,242 - Step 6: Final answer
x = 5,777.34
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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.