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Finding the Third Proportional to 18,878 and 24,102

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Solution

The third proportional to 18,878 and 24,102 is: 30,771.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,878 : 24,102 = 24,102 : x
  2. Step 2: Convert to fraction form
    18,878/24,102 = 24,102/x
  3. Step 3: Cross multiply
    18,878x = 24,102 × 24,102
  4. Step 4: Simplify right side
    18,878x = 580,906,404
  5. Step 5: Solve for x
    x = 580,906,404/18,878
  6. Step 6: Final answer
    x = 30,771.61

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.