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Finding the Third Proportional to 5,614 and 9,638

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Solution

The third proportional to 5,614 and 9,638 is: 16,546.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,614 : 9,638 = 9,638 : x
  2. Step 2: Convert to fraction form
    5,614/9,638 = 9,638/x
  3. Step 3: Cross multiply
    5,614x = 9,638 × 9,638
  4. Step 4: Simplify right side
    5,614x = 92,891,044
  5. Step 5: Solve for x
    x = 92,891,044/5,614
  6. Step 6: Final answer
    x = 16,546.32

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Why These Related Problems?

These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.