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Finding the Third Proportional to 11,314 and 24,002

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Solution

The third proportional to 11,314 and 24,002 is: 50,918.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,314 : 24,002 = 24,002 : x
  2. Step 2: Convert to fraction form
    11,314/24,002 = 24,002/x
  3. Step 3: Cross multiply
    11,314x = 24,002 × 24,002
  4. Step 4: Simplify right side
    11,314x = 576,096,004
  5. Step 5: Solve for x
    x = 576,096,004/11,314
  6. Step 6: Final answer
    x = 50,918.86

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.