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Finding the Third Proportional to 12,325 and 26,493

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Solution

The third proportional to 12,325 and 26,493 is: 56,947.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,325 : 26,493 = 26,493 : x
  2. Step 2: Convert to fraction form
    12,325/26,493 = 26,493/x
  3. Step 3: Cross multiply
    12,325x = 26,493 × 26,493
  4. Step 4: Simplify right side
    12,325x = 701,879,049
  5. Step 5: Solve for x
    x = 701,879,049/12,325
  6. Step 6: Final answer
    x = 56,947.59

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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.