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Finding the Third Proportional to 3,614 and 5,536

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Solution

The third proportional to 3,614 and 5,536 is: 8,480.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,614 : 5,536 = 5,536 : x
  2. Step 2: Convert to fraction form
    3,614/5,536 = 5,536/x
  3. Step 3: Cross multiply
    3,614x = 5,536 × 5,536
  4. Step 4: Simplify right side
    3,614x = 30,647,296
  5. Step 5: Solve for x
    x = 30,647,296/3,614
  6. Step 6: Final answer
    x = 8,480.16

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.