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Finding the Third Proportional to 12,245 and 18,383

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Solution

The third proportional to 12,245 and 18,383 is: 27,597.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,245 : 18,383 = 18,383 : x
  2. Step 2: Convert to fraction form
    12,245/18,383 = 18,383/x
  3. Step 3: Cross multiply
    12,245x = 18,383 × 18,383
  4. Step 4: Simplify right side
    12,245x = 337,934,689
  5. Step 5: Solve for x
    x = 337,934,689/12,245
  6. Step 6: Final answer
    x = 27,597.77

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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.