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Finding the Third Proportional to 11,331 and 24,012

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Solution

The third proportional to 11,331 and 24,012 is: 50,884.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,331 : 24,012 = 24,012 : x
  2. Step 2: Convert to fraction form
    11,331/24,012 = 24,012/x
  3. Step 3: Cross multiply
    11,331x = 24,012 × 24,012
  4. Step 4: Simplify right side
    11,331x = 576,576,144
  5. Step 5: Solve for x
    x = 576,576,144/11,331
  6. Step 6: Final answer
    x = 50,884.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.