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Finding the Third Proportional to 22,801 and 34,110

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Solution

The third proportional to 22,801 and 34,110 is: 51,028.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,801 : 34,110 = 34,110 : x
  2. Step 2: Convert to fraction form
    22,801/34,110 = 34,110/x
  3. Step 3: Cross multiply
    22,801x = 34,110 × 34,110
  4. Step 4: Simplify right side
    22,801x = 1,163,492,100
  5. Step 5: Solve for x
    x = 1,163,492,100/22,801
  6. Step 6: Final answer
    x = 51,028.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.