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Finding the Third Proportional to 10,622 and 23,026

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Solution

The third proportional to 10,622 and 23,026 is: 49,914.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,622 : 23,026 = 23,026 : x
  2. Step 2: Convert to fraction form
    10,622/23,026 = 23,026/x
  3. Step 3: Cross multiply
    10,622x = 23,026 × 23,026
  4. Step 4: Simplify right side
    10,622x = 530,196,676
  5. Step 5: Solve for x
    x = 530,196,676/10,622
  6. Step 6: Final answer
    x = 49,914.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.