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Finding the Third Proportional to 13,408 and 24,096

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Solution

The third proportional to 13,408 and 24,096 is: 43,303.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,408 : 24,096 = 24,096 : x
  2. Step 2: Convert to fraction form
    13,408/24,096 = 24,096/x
  3. Step 3: Cross multiply
    13,408x = 24,096 × 24,096
  4. Step 4: Simplify right side
    13,408x = 580,617,216
  5. Step 5: Solve for x
    x = 580,617,216/13,408
  6. Step 6: Final answer
    x = 43,303.79

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.