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Finding the Third Proportional to 16,886 and 26,951

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Solution

The third proportional to 16,886 and 26,951 is: 43,015.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,886 : 26,951 = 26,951 : x
  2. Step 2: Convert to fraction form
    16,886/26,951 = 26,951/x
  3. Step 3: Cross multiply
    16,886x = 26,951 × 26,951
  4. Step 4: Simplify right side
    16,886x = 726,356,401
  5. Step 5: Solve for x
    x = 726,356,401/16,886
  6. Step 6: Final answer
    x = 43,015.30

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.