Finding the Third Proportional to 1,364 and 1,598
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Solution
The third proportional to 1,364 and 1,598 is: 1,872.14
Step by Step Solution
- Step 1: Write the proportion equation
1,364 : 1,598 = 1,598 : x - Step 2: Convert to fraction form
1,364/1,598 = 1,598/x - Step 3: Cross multiply
1,364x = 1,598 × 1,598 - Step 4: Simplify right side
1,364x = 2,553,604 - Step 5: Solve for x
x = 2,553,604/1,364 - Step 6: Final answer
x = 1,872.14
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These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.