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Finding the Third Proportional to 12,185 and 17,844

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Solution

The third proportional to 12,185 and 17,844 is: 26,131.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,185 : 17,844 = 17,844 : x
  2. Step 2: Convert to fraction form
    12,185/17,844 = 17,844/x
  3. Step 3: Cross multiply
    12,185x = 17,844 × 17,844
  4. Step 4: Simplify right side
    12,185x = 318,408,336
  5. Step 5: Solve for x
    x = 318,408,336/12,185
  6. Step 6: Final answer
    x = 26,131.17

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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.