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Finding the Third Proportional to 3,675 and 5,497

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Solution

The third proportional to 3,675 and 5,497 is: 8,222.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,675 : 5,497 = 5,497 : x
  2. Step 2: Convert to fraction form
    3,675/5,497 = 5,497/x
  3. Step 3: Cross multiply
    3,675x = 5,497 × 5,497
  4. Step 4: Simplify right side
    3,675x = 30,217,009
  5. Step 5: Solve for x
    x = 30,217,009/3,675
  6. Step 6: Final answer
    x = 8,222.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.