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Finding the Third Proportional to 17,812 and 26,622

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Solution

The third proportional to 17,812 and 26,622 is: 39,789.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,812 : 26,622 = 26,622 : x
  2. Step 2: Convert to fraction form
    17,812/26,622 = 26,622/x
  3. Step 3: Cross multiply
    17,812x = 26,622 × 26,622
  4. Step 4: Simplify right side
    17,812x = 708,730,884
  5. Step 5: Solve for x
    x = 708,730,884/17,812
  6. Step 6: Final answer
    x = 39,789.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.