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Finding the Third Proportional to 11,827 and 24,040

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Solution

The third proportional to 11,827 and 24,040 is: 48,864.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,827 : 24,040 = 24,040 : x
  2. Step 2: Convert to fraction form
    11,827/24,040 = 24,040/x
  3. Step 3: Cross multiply
    11,827x = 24,040 × 24,040
  4. Step 4: Simplify right side
    11,827x = 577,921,600
  5. Step 5: Solve for x
    x = 577,921,600/11,827
  6. Step 6: Final answer
    x = 48,864.60

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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.