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Finding the Third Proportional to 12,237 and 19,449

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Solution

The third proportional to 12,237 and 19,449 is: 30,911.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,237 : 19,449 = 19,449 : x
  2. Step 2: Convert to fraction form
    12,237/19,449 = 19,449/x
  3. Step 3: Cross multiply
    12,237x = 19,449 × 19,449
  4. Step 4: Simplify right side
    12,237x = 378,263,601
  5. Step 5: Solve for x
    x = 378,263,601/12,237
  6. Step 6: Final answer
    x = 30,911.47

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.