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Finding the Third Proportional to 3,200 and 5,638

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Solution

The third proportional to 3,200 and 5,638 is: 9,933.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,200 : 5,638 = 5,638 : x
  2. Step 2: Convert to fraction form
    3,200/5,638 = 5,638/x
  3. Step 3: Cross multiply
    3,200x = 5,638 × 5,638
  4. Step 4: Simplify right side
    3,200x = 31,787,044
  5. Step 5: Solve for x
    x = 31,787,044/3,200
  6. Step 6: Final answer
    x = 9,933.45

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.