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Finding the Third Proportional to 3,226.50 and 7,730.25

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Solution

The third proportional to 3,226.50 and 7,730.25 is: 18,520.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,226.50 : 7,730.25 = 7,730.25 : x
  2. Step 2: Convert to fraction form
    3,226.50/7,730.25 = 7,730.25/x
  3. Step 3: Cross multiply
    3,226.50x = 7,730.25 × 7,730.25
  4. Step 4: Simplify right side
    3,226.50x = 59,756,765.06
  5. Step 5: Solve for x
    x = 59,756,765.06/3,226.50
  6. Step 6: Final answer
    x = 18,520.62

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.