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Finding the Third Proportional to 2,438.44 and 5,200.03

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Solution

The third proportional to 2,438.44 and 5,200.03 is: 11,089.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,438.44 : 5,200.03 = 5,200.03 : x
  2. Step 2: Convert to fraction form
    2,438.44/5,200.03 = 5,200.03/x
  3. Step 3: Cross multiply
    2,438.44x = 5,200.03 × 5,200.03
  4. Step 4: Simplify right side
    2,438.44x = 27,040,325.00
  5. Step 5: Solve for x
    x = 27,040,325.00/2,438.44
  6. Step 6: Final answer
    x = 11,089.20

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.