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Finding the Third Proportional to 2,794.50 and 7,252.03

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Solution

The third proportional to 2,794.50 and 7,252.03 is: 18,819.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,794.50 : 7,252.03 = 7,252.03 : x
  2. Step 2: Convert to fraction form
    2,794.50/7,252.03 = 7,252.03/x
  3. Step 3: Cross multiply
    2,794.50x = 7,252.03 × 7,252.03
  4. Step 4: Simplify right side
    2,794.50x = 52,591,957.25
  5. Step 5: Solve for x
    x = 52,591,957.25/2,794.50
  6. Step 6: Final answer
    x = 18,819.81

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Why These Related Problems?

These problems maintain the same ratio (2.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.