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Finding the Third Proportional to 16,305 and 26,977

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Solution

The third proportional to 16,305 and 26,977 is: 44,634.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,305 : 26,977 = 26,977 : x
  2. Step 2: Convert to fraction form
    16,305/26,977 = 26,977/x
  3. Step 3: Cross multiply
    16,305x = 26,977 × 26,977
  4. Step 4: Simplify right side
    16,305x = 727,758,529
  5. Step 5: Solve for x
    x = 727,758,529/16,305
  6. Step 6: Final answer
    x = 44,634.07

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.