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Finding the Third Proportional to 12,024 and 15,644

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Solution

The third proportional to 12,024 and 15,644 is: 20,353.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,024 : 15,644 = 15,644 : x
  2. Step 2: Convert to fraction form
    12,024/15,644 = 15,644/x
  3. Step 3: Cross multiply
    12,024x = 15,644 × 15,644
  4. Step 4: Simplify right side
    12,024x = 244,734,736
  5. Step 5: Solve for x
    x = 244,734,736/12,024
  6. Step 6: Final answer
    x = 20,353.85

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.