Finding the Third Proportional to 1,564 and 3,614
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Solution
The third proportional to 1,564 and 3,614 is: 8,351.02
Step by Step Solution
- Step 1: Write the proportion equation
1,564 : 3,614 = 3,614 : x - Step 2: Convert to fraction form
1,564/3,614 = 3,614/x - Step 3: Cross multiply
1,564x = 3,614 × 3,614 - Step 4: Simplify right side
1,564x = 13,060,996 - Step 5: Solve for x
x = 13,060,996/1,564 - Step 6: Final answer
x = 8,351.02
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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.