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Finding the Third Proportional to 22,661 and 34,100

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Solution

The third proportional to 22,661 and 34,100 is: 51,313.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,661 : 34,100 = 34,100 : x
  2. Step 2: Convert to fraction form
    22,661/34,100 = 34,100/x
  3. Step 3: Cross multiply
    22,661x = 34,100 × 34,100
  4. Step 4: Simplify right side
    22,661x = 1,162,810,000
  5. Step 5: Solve for x
    x = 1,162,810,000/22,661
  6. Step 6: Final answer
    x = 51,313.27

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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.