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Finding the Third Proportional to 12,784 and 19,936

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Solution

The third proportional to 12,784 and 19,936 is: 31,089.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,784 : 19,936 = 19,936 : x
  2. Step 2: Convert to fraction form
    12,784/19,936 = 19,936/x
  3. Step 3: Cross multiply
    12,784x = 19,936 × 19,936
  4. Step 4: Simplify right side
    12,784x = 397,444,096
  5. Step 5: Solve for x
    x = 397,444,096/12,784
  6. Step 6: Final answer
    x = 31,089.18

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.