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Finding the Third Proportional to 12,351 and 26,251

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Solution

The third proportional to 12,351 and 26,251 is: 55,794.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,351 : 26,251 = 26,251 : x
  2. Step 2: Convert to fraction form
    12,351/26,251 = 26,251/x
  3. Step 3: Cross multiply
    12,351x = 26,251 × 26,251
  4. Step 4: Simplify right side
    12,351x = 689,115,001
  5. Step 5: Solve for x
    x = 689,115,001/12,351
  6. Step 6: Final answer
    x = 55,794.27

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.