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Finding the Third Proportional to 3,614 and 5,777

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Solution

The third proportional to 3,614 and 5,777 is: 9,234.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,614 : 5,777 = 5,777 : x
  2. Step 2: Convert to fraction form
    3,614/5,777 = 5,777/x
  3. Step 3: Cross multiply
    3,614x = 5,777 × 5,777
  4. Step 4: Simplify right side
    3,614x = 33,373,729
  5. Step 5: Solve for x
    x = 33,373,729/3,614
  6. Step 6: Final answer
    x = 9,234.57

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.