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Finding the Third Proportional to 3,420 and 7,638

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Solution

The third proportional to 3,420 and 7,638 is: 17,058.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,420 : 7,638 = 7,638 : x
  2. Step 2: Convert to fraction form
    3,420/7,638 = 7,638/x
  3. Step 3: Cross multiply
    3,420x = 7,638 × 7,638
  4. Step 4: Simplify right side
    3,420x = 58,339,044
  5. Step 5: Solve for x
    x = 58,339,044/3,420
  6. Step 6: Final answer
    x = 17,058.20

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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.