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Finding the Third Proportional to 3,200 and 7,720

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Solution

The third proportional to 3,200 and 7,720 is: 18,624.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,200 : 7,720 = 7,720 : x
  2. Step 2: Convert to fraction form
    3,200/7,720 = 7,720/x
  3. Step 3: Cross multiply
    3,200x = 7,720 × 7,720
  4. Step 4: Simplify right side
    3,200x = 59,598,400
  5. Step 5: Solve for x
    x = 59,598,400/3,200
  6. Step 6: Final answer
    x = 18,624.50

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.