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Finding the Third Proportional to 11,811 and 23,937

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Solution

The third proportional to 11,811 and 23,937 is: 48,512.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,811 : 23,937 = 23,937 : x
  2. Step 2: Convert to fraction form
    11,811/23,937 = 23,937/x
  3. Step 3: Cross multiply
    11,811x = 23,937 × 23,937
  4. Step 4: Simplify right side
    11,811x = 572,979,969
  5. Step 5: Solve for x
    x = 572,979,969/11,811
  6. Step 6: Final answer
    x = 48,512.40

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.