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Finding the Third Proportional to 16,831 and 26,405

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Solution

The third proportional to 16,831 and 26,405 is: 41,424.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,831 : 26,405 = 26,405 : x
  2. Step 2: Convert to fraction form
    16,831/26,405 = 26,405/x
  3. Step 3: Cross multiply
    16,831x = 26,405 × 26,405
  4. Step 4: Simplify right side
    16,831x = 697,224,025
  5. Step 5: Solve for x
    x = 697,224,025/16,831
  6. Step 6: Final answer
    x = 41,424.99

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.