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Finding the Third Proportional to 16,742 and 26,917

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Solution

The third proportional to 16,742 and 26,917 is: 43,275.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,742 : 26,917 = 26,917 : x
  2. Step 2: Convert to fraction form
    16,742/26,917 = 26,917/x
  3. Step 3: Cross multiply
    16,742x = 26,917 × 26,917
  4. Step 4: Simplify right side
    16,742x = 724,524,889
  5. Step 5: Solve for x
    x = 724,524,889/16,742
  6. Step 6: Final answer
    x = 43,275.89

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.