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Finding the Third Proportional to 4,204 and 9,932

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Solution

The third proportional to 4,204 and 9,932 is: 23,464.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,204 : 9,932 = 9,932 : x
  2. Step 2: Convert to fraction form
    4,204/9,932 = 9,932/x
  3. Step 3: Cross multiply
    4,204x = 9,932 × 9,932
  4. Step 4: Simplify right side
    4,204x = 98,644,624
  5. Step 5: Solve for x
    x = 98,644,624/4,204
  6. Step 6: Final answer
    x = 23,464.47

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.