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Finding the Third Proportional to 16,408 and 24,626

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Solution

The third proportional to 16,408 and 24,626 is: 36,960.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,408 : 24,626 = 24,626 : x
  2. Step 2: Convert to fraction form
    16,408/24,626 = 24,626/x
  3. Step 3: Cross multiply
    16,408x = 24,626 × 24,626
  4. Step 4: Simplify right side
    16,408x = 606,439,876
  5. Step 5: Solve for x
    x = 606,439,876/16,408
  6. Step 6: Final answer
    x = 36,960.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.