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Finding the Third Proportional to 12,311 and 19,544

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Solution

The third proportional to 12,311 and 19,544 is: 31,026.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,311 : 19,544 = 19,544 : x
  2. Step 2: Convert to fraction form
    12,311/19,544 = 19,544/x
  3. Step 3: Cross multiply
    12,311x = 19,544 × 19,544
  4. Step 4: Simplify right side
    12,311x = 381,967,936
  5. Step 5: Solve for x
    x = 381,967,936/12,311
  6. Step 6: Final answer
    x = 31,026.56

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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.