Finding the Third Proportional to 4,564 and 5,922
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Solution
The third proportional to 4,564 and 5,922 is: 7,684.07
Step by Step Solution
- Step 1: Write the proportion equation
4,564 : 5,922 = 5,922 : x - Step 2: Convert to fraction form
4,564/5,922 = 5,922/x - Step 3: Cross multiply
4,564x = 5,922 × 5,922 - Step 4: Simplify right side
4,564x = 35,070,084 - Step 5: Solve for x
x = 35,070,084/4,564 - Step 6: Final answer
x = 7,684.07
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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.