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Finding the Third Proportional to 1,903.50 and 3,202.88

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Solution

The third proportional to 1,903.50 and 3,202.88 is: 5,389.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,903.50 : 3,202.88 = 3,202.88 : x
  2. Step 2: Convert to fraction form
    1,903.50/3,202.88 = 3,202.88/x
  3. Step 3: Cross multiply
    1,903.50x = 3,202.88 × 3,202.88
  4. Step 4: Simplify right side
    1,903.50x = 10,258,408.27
  5. Step 5: Solve for x
    x = 10,258,408.27/1,903.50
  6. Step 6: Final answer
    x = 5,389.23

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Why These Related Problems?

These problems maintain the same ratio (1.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.