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Finding the Third Proportional to 23,722 and 51,044

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Solution

The third proportional to 23,722 and 51,044 is: 109,834.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,722 : 51,044 = 51,044 : x
  2. Step 2: Convert to fraction form
    23,722/51,044 = 51,044/x
  3. Step 3: Cross multiply
    23,722x = 51,044 × 51,044
  4. Step 4: Simplify right side
    23,722x = 2,605,489,936
  5. Step 5: Solve for x
    x = 2,605,489,936/23,722
  6. Step 6: Final answer
    x = 109,834.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.