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Finding the Third Proportional to 12,188 and 17,849

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Solution

The third proportional to 12,188 and 17,849 is: 26,139.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,188 : 17,849 = 17,849 : x
  2. Step 2: Convert to fraction form
    12,188/17,849 = 17,849/x
  3. Step 3: Cross multiply
    12,188x = 17,849 × 17,849
  4. Step 4: Simplify right side
    12,188x = 318,586,801
  5. Step 5: Solve for x
    x = 318,586,801/12,188
  6. Step 6: Final answer
    x = 26,139.38

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.