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Finding the Third Proportional to 24,392 and 33,108

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Solution

The third proportional to 24,392 and 33,108 is: 44,938.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,392 : 33,108 = 33,108 : x
  2. Step 2: Convert to fraction form
    24,392/33,108 = 33,108/x
  3. Step 3: Cross multiply
    24,392x = 33,108 × 33,108
  4. Step 4: Simplify right side
    24,392x = 1,096,139,664
  5. Step 5: Solve for x
    x = 1,096,139,664/24,392
  6. Step 6: Final answer
    x = 44,938.49

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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.