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Finding the Third Proportional to 12,408 and 26,456

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Solution

The third proportional to 12,408 and 26,456 is: 56,408.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,408 : 26,456 = 26,456 : x
  2. Step 2: Convert to fraction form
    12,408/26,456 = 26,456/x
  3. Step 3: Cross multiply
    12,408x = 26,456 × 26,456
  4. Step 4: Simplify right side
    12,408x = 699,919,936
  5. Step 5: Solve for x
    x = 699,919,936/12,408
  6. Step 6: Final answer
    x = 56,408.76

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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.