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Finding the Third Proportional to 24,408 and 33,156

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Solution

The third proportional to 24,408 and 33,156 is: 45,039.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,408 : 33,156 = 33,156 : x
  2. Step 2: Convert to fraction form
    24,408/33,156 = 33,156/x
  3. Step 3: Cross multiply
    24,408x = 33,156 × 33,156
  4. Step 4: Simplify right side
    24,408x = 1,099,320,336
  5. Step 5: Solve for x
    x = 1,099,320,336/24,408
  6. Step 6: Final answer
    x = 45,039.35

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.