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Finding the Third Proportional to 11,982 and 24,700

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Solution

The third proportional to 11,982 and 24,700 is: 50,917.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,982 : 24,700 = 24,700 : x
  2. Step 2: Convert to fraction form
    11,982/24,700 = 24,700/x
  3. Step 3: Cross multiply
    11,982x = 24,700 × 24,700
  4. Step 4: Simplify right side
    11,982x = 610,090,000
  5. Step 5: Solve for x
    x = 610,090,000/11,982
  6. Step 6: Final answer
    x = 50,917.21

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.