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Finding the Third Proportional to 2,237.06 and 5,200.03

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Solution

The third proportional to 2,237.06 and 5,200.03 is: 12,087.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,237.06 : 5,200.03 = 5,200.03 : x
  2. Step 2: Convert to fraction form
    2,237.06/5,200.03 = 5,200.03/x
  3. Step 3: Cross multiply
    2,237.06x = 5,200.03 × 5,200.03
  4. Step 4: Simplify right side
    2,237.06x = 27,040,325.00
  5. Step 5: Solve for x
    x = 27,040,325.00/2,237.06
  6. Step 6: Final answer
    x = 12,087.42

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.