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Finding the Third Proportional to 6,808 and 9,638

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Solution

The third proportional to 6,808 and 9,638 is: 13,644.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,808 : 9,638 = 9,638 : x
  2. Step 2: Convert to fraction form
    6,808/9,638 = 9,638/x
  3. Step 3: Cross multiply
    6,808x = 9,638 × 9,638
  4. Step 4: Simplify right side
    6,808x = 92,891,044
  5. Step 5: Solve for x
    x = 92,891,044/6,808
  6. Step 6: Final answer
    x = 13,644.40

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.