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Finding the Third Proportional to 23,936 and 52,064

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Solution

The third proportional to 23,936 and 52,064 is: 113,246.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,936 : 52,064 = 52,064 : x
  2. Step 2: Convert to fraction form
    23,936/52,064 = 52,064/x
  3. Step 3: Cross multiply
    23,936x = 52,064 × 52,064
  4. Step 4: Simplify right side
    23,936x = 2,710,660,096
  5. Step 5: Solve for x
    x = 2,710,660,096/23,936
  6. Step 6: Final answer
    x = 113,246.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.