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Finding the Third Proportional to 9,408 and 12,906

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Solution

The third proportional to 9,408 and 12,906 is: 17,704.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,408 : 12,906 = 12,906 : x
  2. Step 2: Convert to fraction form
    9,408/12,906 = 12,906/x
  3. Step 3: Cross multiply
    9,408x = 12,906 × 12,906
  4. Step 4: Simplify right side
    9,408x = 166,564,836
  5. Step 5: Solve for x
    x = 166,564,836/9,408
  6. Step 6: Final answer
    x = 17,704.60

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.