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Finding the Third Proportional to 11,982 and 24,567

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Solution

The third proportional to 11,982 and 24,567 is: 50,370.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,982 : 24,567 = 24,567 : x
  2. Step 2: Convert to fraction form
    11,982/24,567 = 24,567/x
  3. Step 3: Cross multiply
    11,982x = 24,567 × 24,567
  4. Step 4: Simplify right side
    11,982x = 603,537,489
  5. Step 5: Solve for x
    x = 603,537,489/11,982
  6. Step 6: Final answer
    x = 50,370.35

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.