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Finding the Third Proportional to 13,849 and 29,717

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Solution

The third proportional to 13,849 and 29,717 is: 63,766.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,849 : 29,717 = 29,717 : x
  2. Step 2: Convert to fraction form
    13,849/29,717 = 29,717/x
  3. Step 3: Cross multiply
    13,849x = 29,717 × 29,717
  4. Step 4: Simplify right side
    13,849x = 883,100,089
  5. Step 5: Solve for x
    x = 883,100,089/13,849
  6. Step 6: Final answer
    x = 63,766.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.