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Finding the Third Proportional to 17,186 and 25,832

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Solution

The third proportional to 17,186 and 25,832 is: 38,827.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,186 : 25,832 = 25,832 : x
  2. Step 2: Convert to fraction form
    17,186/25,832 = 25,832/x
  3. Step 3: Cross multiply
    17,186x = 25,832 × 25,832
  4. Step 4: Simplify right side
    17,186x = 667,292,224
  5. Step 5: Solve for x
    x = 667,292,224/17,186
  6. Step 6: Final answer
    x = 38,827.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.