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Finding the Third Proportional to 7,206.75 and 14,028.75

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Solution

The third proportional to 7,206.75 and 14,028.75 is: 27,308.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,206.75 : 14,028.75 = 14,028.75 : x
  2. Step 2: Convert to fraction form
    7,206.75/14,028.75 = 14,028.75/x
  3. Step 3: Cross multiply
    7,206.75x = 14,028.75 × 14,028.75
  4. Step 4: Simplify right side
    7,206.75x = 196,805,826.56
  5. Step 5: Solve for x
    x = 196,805,826.56/7,206.75
  6. Step 6: Final answer
    x = 27,308.54

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.