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Finding the Third Proportional to 22,679 and 34,041

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Solution

The third proportional to 22,679 and 34,041 is: 51,095.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,679 : 34,041 = 34,041 : x
  2. Step 2: Convert to fraction form
    22,679/34,041 = 34,041/x
  3. Step 3: Cross multiply
    22,679x = 34,041 × 34,041
  4. Step 4: Simplify right side
    22,679x = 1,158,789,681
  5. Step 5: Solve for x
    x = 1,158,789,681/22,679
  6. Step 6: Final answer
    x = 51,095.27

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Why These Related Problems?

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