Finding the Third Proportional to 664 and 1,566
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Solution
The third proportional to 664 and 1,566 is: 3,693.31
Step by Step Solution
- Step 1: Write the proportion equation
664 : 1,566 = 1,566 : x - Step 2: Convert to fraction form
664/1,566 = 1,566/x - Step 3: Cross multiply
664x = 1,566 × 1,566 - Step 4: Simplify right side
664x = 2,452,356 - Step 5: Solve for x
x = 2,452,356/664 - Step 6: Final answer
x = 3,693.31
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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.