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Finding the Third Proportional to 23,717 and 51,727

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Solution

The third proportional to 23,717 and 51,727 is: 112,817.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,717 : 51,727 = 51,727 : x
  2. Step 2: Convert to fraction form
    23,717/51,727 = 51,727/x
  3. Step 3: Cross multiply
    23,717x = 51,727 × 51,727
  4. Step 4: Simplify right side
    23,717x = 2,675,682,529
  5. Step 5: Solve for x
    x = 2,675,682,529/23,717
  6. Step 6: Final answer
    x = 112,817.07

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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.