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Finding the Third Proportional to 3,728 and 9,239

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Solution

The third proportional to 3,728 and 9,239 is: 22,896.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,728 : 9,239 = 9,239 : x
  2. Step 2: Convert to fraction form
    3,728/9,239 = 9,239/x
  3. Step 3: Cross multiply
    3,728x = 9,239 × 9,239
  4. Step 4: Simplify right side
    3,728x = 85,359,121
  5. Step 5: Solve for x
    x = 85,359,121/3,728
  6. Step 6: Final answer
    x = 22,896.76

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Why These Related Problems?

These problems maintain the same ratio (2.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.