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Finding the Third Proportional to 12,678 and 19,395

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Solution

The third proportional to 12,678 and 19,395 is: 29,670.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,678 : 19,395 = 19,395 : x
  2. Step 2: Convert to fraction form
    12,678/19,395 = 19,395/x
  3. Step 3: Cross multiply
    12,678x = 19,395 × 19,395
  4. Step 4: Simplify right side
    12,678x = 376,166,025
  5. Step 5: Solve for x
    x = 376,166,025/12,678
  6. Step 6: Final answer
    x = 29,670.77

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.