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Finding the Third Proportional to 16,858 and 26,173

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Solution

The third proportional to 16,858 and 26,173 is: 40,635.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,858 : 26,173 = 26,173 : x
  2. Step 2: Convert to fraction form
    16,858/26,173 = 26,173/x
  3. Step 3: Cross multiply
    16,858x = 26,173 × 26,173
  4. Step 4: Simplify right side
    16,858x = 685,025,929
  5. Step 5: Solve for x
    x = 685,025,929/16,858
  6. Step 6: Final answer
    x = 40,635.07

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.