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Finding the Third Proportional to 12,021 and 24,654

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Solution

The third proportional to 12,021 and 24,654 is: 50,563.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,021 : 24,654 = 24,654 : x
  2. Step 2: Convert to fraction form
    12,021/24,654 = 24,654/x
  3. Step 3: Cross multiply
    12,021x = 24,654 × 24,654
  4. Step 4: Simplify right side
    12,021x = 607,819,716
  5. Step 5: Solve for x
    x = 607,819,716/12,021
  6. Step 6: Final answer
    x = 50,563.16

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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.