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Finding the Third Proportional to 24,524 and 33,120

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Solution

The third proportional to 24,524 and 33,120 is: 44,729.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,524 : 33,120 = 33,120 : x
  2. Step 2: Convert to fraction form
    24,524/33,120 = 33,120/x
  3. Step 3: Cross multiply
    24,524x = 33,120 × 33,120
  4. Step 4: Simplify right side
    24,524x = 1,096,934,400
  5. Step 5: Solve for x
    x = 1,096,934,400/24,524
  6. Step 6: Final answer
    x = 44,729.02

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.