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Finding the Third Proportional to 7,067.75 and 10,617.75

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Solution

The third proportional to 7,067.75 and 10,617.75 is: 15,950.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,067.75 : 10,617.75 = 10,617.75 : x
  2. Step 2: Convert to fraction form
    7,067.75/10,617.75 = 10,617.75/x
  3. Step 3: Cross multiply
    7,067.75x = 10,617.75 × 10,617.75
  4. Step 4: Simplify right side
    7,067.75x = 112,736,615.06
  5. Step 5: Solve for x
    x = 112,736,615.06/7,067.75
  6. Step 6: Final answer
    x = 15,950.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.