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Finding the Third Proportional to 3,638 and 7,700

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Solution

The third proportional to 3,638 and 7,700 is: 16,297.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,638 : 7,700 = 7,700 : x
  2. Step 2: Convert to fraction form
    3,638/7,700 = 7,700/x
  3. Step 3: Cross multiply
    3,638x = 7,700 × 7,700
  4. Step 4: Simplify right side
    3,638x = 59,290,000
  5. Step 5: Solve for x
    x = 59,290,000/3,638
  6. Step 6: Final answer
    x = 16,297.42

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.