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Finding the Third Proportional to 24,096 and 36,016

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Solution

The third proportional to 24,096 and 36,016 is: 53,832.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,096 : 36,016 = 36,016 : x
  2. Step 2: Convert to fraction form
    24,096/36,016 = 36,016/x
  3. Step 3: Cross multiply
    24,096x = 36,016 × 36,016
  4. Step 4: Simplify right side
    24,096x = 1,297,152,256
  5. Step 5: Solve for x
    x = 1,297,152,256/24,096
  6. Step 6: Final answer
    x = 53,832.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.