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Finding the Third Proportional to 12,033 and 25,839

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Solution

The third proportional to 12,033 and 25,839 is: 55,485.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,033 : 25,839 = 25,839 : x
  2. Step 2: Convert to fraction form
    12,033/25,839 = 25,839/x
  3. Step 3: Cross multiply
    12,033x = 25,839 × 25,839
  4. Step 4: Simplify right side
    12,033x = 667,653,921
  5. Step 5: Solve for x
    x = 667,653,921/12,033
  6. Step 6: Final answer
    x = 55,485.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.