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Finding the Third Proportional to 12,326 and 27,427

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Solution

The third proportional to 12,326 and 27,427 is: 61,028.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,326 : 27,427 = 27,427 : x
  2. Step 2: Convert to fraction form
    12,326/27,427 = 27,427/x
  3. Step 3: Cross multiply
    12,326x = 27,427 × 27,427
  4. Step 4: Simplify right side
    12,326x = 752,240,329
  5. Step 5: Solve for x
    x = 752,240,329/12,326
  6. Step 6: Final answer
    x = 61,028.75

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.