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Finding the Third Proportional to 13,326 and 19,871

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Solution

The third proportional to 13,326 and 19,871 is: 29,630.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,326 : 19,871 = 19,871 : x
  2. Step 2: Convert to fraction form
    13,326/19,871 = 19,871/x
  3. Step 3: Cross multiply
    13,326x = 19,871 × 19,871
  4. Step 4: Simplify right side
    13,326x = 394,856,641
  5. Step 5: Solve for x
    x = 394,856,641/13,326
  6. Step 6: Final answer
    x = 29,630.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.