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Finding the Third Proportional to 7,474.50 and 11,067.19

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Solution

The third proportional to 7,474.50 and 11,067.19 is: 16,386.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,474.50 : 11,067.19 = 11,067.19 : x
  2. Step 2: Convert to fraction form
    7,474.50/11,067.19 = 11,067.19/x
  3. Step 3: Cross multiply
    7,474.50x = 11,067.19 × 11,067.19
  4. Step 4: Simplify right side
    7,474.50x = 122,482,639.16
  5. Step 5: Solve for x
    x = 122,482,639.16/7,474.50
  6. Step 6: Final answer
    x = 16,386.73

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.