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Finding the Third Proportional to 12,966.33 and 26,408.53

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Solution

The third proportional to 12,966.33 and 26,408.53 is: 53,786.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,966.33 : 26,408.53 = 26,408.53 : x
  2. Step 2: Convert to fraction form
    12,966.33/26,408.53 = 26,408.53/x
  3. Step 3: Cross multiply
    12,966.33x = 26,408.53 × 26,408.53
  4. Step 4: Simplify right side
    12,966.33x = 697,410,522.78
  5. Step 5: Solve for x
    x = 697,410,522.78/12,966.33
  6. Step 6: Final answer
    x = 53,786.28

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.