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Finding the Third Proportional to 22,821 and 34,141

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Solution

The third proportional to 22,821 and 34,141 is: 51,076.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,821 : 34,141 = 34,141 : x
  2. Step 2: Convert to fraction form
    22,821/34,141 = 34,141/x
  3. Step 3: Cross multiply
    22,821x = 34,141 × 34,141
  4. Step 4: Simplify right side
    22,821x = 1,165,607,881
  5. Step 5: Solve for x
    x = 1,165,607,881/22,821
  6. Step 6: Final answer
    x = 51,076.11

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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.