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Finding the Third Proportional to 2,069.44 and 3,202.88

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Solution

The third proportional to 2,069.44 and 3,202.88 is: 4,957.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,069.44 : 3,202.88 = 3,202.88 : x
  2. Step 2: Convert to fraction form
    2,069.44/3,202.88 = 3,202.88/x
  3. Step 3: Cross multiply
    2,069.44x = 3,202.88 × 3,202.88
  4. Step 4: Simplify right side
    2,069.44x = 10,258,408.27
  5. Step 5: Solve for x
    x = 10,258,408.27/2,069.44
  6. Step 6: Final answer
    x = 4,957.10

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.