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Finding the Third Proportional to 13,745 and 30,638

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Solution

The third proportional to 13,745 and 30,638 is: 68,292.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,745 : 30,638 = 30,638 : x
  2. Step 2: Convert to fraction form
    13,745/30,638 = 30,638/x
  3. Step 3: Cross multiply
    13,745x = 30,638 × 30,638
  4. Step 4: Simplify right side
    13,745x = 938,687,044
  5. Step 5: Solve for x
    x = 938,687,044/13,745
  6. Step 6: Final answer
    x = 68,292.98

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.