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Finding the Third Proportional to 7,224 and 16,104

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Solution

The third proportional to 7,224 and 16,104 is: 35,899.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,224 : 16,104 = 16,104 : x
  2. Step 2: Convert to fraction form
    7,224/16,104 = 16,104/x
  3. Step 3: Cross multiply
    7,224x = 16,104 × 16,104
  4. Step 4: Simplify right side
    7,224x = 259,338,816
  5. Step 5: Solve for x
    x = 259,338,816/7,224
  6. Step 6: Final answer
    x = 35,899.61

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.