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Finding the Third Proportional to 16,686 and 25,759

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Solution

The third proportional to 16,686 and 25,759 is: 39,765.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,686 : 25,759 = 25,759 : x
  2. Step 2: Convert to fraction form
    16,686/25,759 = 25,759/x
  3. Step 3: Cross multiply
    16,686x = 25,759 × 25,759
  4. Step 4: Simplify right side
    16,686x = 663,526,081
  5. Step 5: Solve for x
    x = 663,526,081/16,686
  6. Step 6: Final answer
    x = 39,765.44

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.