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Finding the Third Proportional to 19,408 and 41,124

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Solution

The third proportional to 19,408 and 41,124 is: 87,138.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,408 : 41,124 = 41,124 : x
  2. Step 2: Convert to fraction form
    19,408/41,124 = 41,124/x
  3. Step 3: Cross multiply
    19,408x = 41,124 × 41,124
  4. Step 4: Simplify right side
    19,408x = 1,691,183,376
  5. Step 5: Solve for x
    x = 1,691,183,376/19,408
  6. Step 6: Final answer
    x = 87,138.47

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.