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Finding the Third Proportional to 3,884 and 9,230

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Solution

The third proportional to 3,884 and 9,230 is: 21,934.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,884 : 9,230 = 9,230 : x
  2. Step 2: Convert to fraction form
    3,884/9,230 = 9,230/x
  3. Step 3: Cross multiply
    3,884x = 9,230 × 9,230
  4. Step 4: Simplify right side
    3,884x = 85,192,900
  5. Step 5: Solve for x
    x = 85,192,900/3,884
  6. Step 6: Final answer
    x = 21,934.32

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.