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Finding the Third Proportional to 16,739 and 25,903

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Solution

The third proportional to 16,739 and 25,903 is: 40,083.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,739 : 25,903 = 25,903 : x
  2. Step 2: Convert to fraction form
    16,739/25,903 = 25,903/x
  3. Step 3: Cross multiply
    16,739x = 25,903 × 25,903
  4. Step 4: Simplify right side
    16,739x = 670,965,409
  5. Step 5: Solve for x
    x = 670,965,409/16,739
  6. Step 6: Final answer
    x = 40,083.96

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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.